SCHEDULE 13D  
  
Amendment No. 3  
Continental Airlines Incorporated  
Class B Common Stock   
Cusip # 210795308  
Filing Fee: No  
 
 
Cusip # 210795308  
Item 1:	Reporting Person - FMR Corp. - (Tax ID:  04-2507163)  
Item 4:	PF  
Item 6:	Commonwealth of Massachusetts  
Item 7:	2,561,550  
Item 8:	None  
Item 9:	3,544,248  
Item 10:	None  
Item 11:	3,544,248  
Item 13:	17.31%  
Item 14:	HC  
 
 
PREAMBLE  
  
	The filing of this Schedule 13D is not, and should not be deemed to be,  
an admission that such Schedule 13D is required to be filed.  See the  
discussion under Item 2.  
  
Item 1.	Security and Issuer.  
  
	This statement relates to shares of the Class B Common Stock, $0.01 par  
value (the "Shares") of Continental Airlines Incorporated, a Delaware  
corporation (the "Company").  The principal executive offices of the Company  
are located at 2929 Allen Parkway, Houston, TX 77019-2156.  
  
Item 2.	Identity and Background.  
  
	Item 2 is amended as follows:  
  
	This statement is being filed by FMR Corp., a Massachusetts Corporation  
("FMR").  A separate Schedule 13D is being filed by Fidelity International  
Limited, a Bermuda joint stock company incorporated for an unlimited duration  
by private act of the Bermuda legislature ("FIL").  FMR is a holding company  
one of whose principal assets is the capital stock of a wholly-owned  
subsidiary, Fidelity Management & Research Company ("Fidelity"), which is also  
a Massachusetts corporation.  Fidelity is an investment advisor which is  
registered under Section 203 of the Investment Advisors Act of 1940 and which  
provides investment advisory services to more than 30 investment companies  
which are registered under Section 8 of the Investment Company Act of 1940 and  
serves as investment advisor to certain other funds which are generally  
offered to limited groups of investors (the "Fidelity Funds").  Fidelity  
Management Trust Company ("FMTC"), a wholly-owned subsidiary of FMR Corp. and  
a bank as defined in Section 3(a)(6) of the Securities Exchange Act of 1934,  
serves as trustee or managing agent for various private investment accounts,  
primarily employee benefit plans and serves as investment adviser to certain  
other funds which are generally offered to limited groups of investors (the  
"Accounts").  Various directly or indirectly held subsidiaries of FMR are also  
engaged in investment management, venture capital asset management, securities  
brokerage, transfer and shareholder servicing and real estate development.   
The principal offices of FMR, Fidelity, and FMTC are located at 82 Devonshire  
Street, Boston, Massachusetts 02109.  
  
	FIL is an investment adviser which provides investment advisory and  
management services to a number of non-U.S. investment companies or instrument  
trusts (the "International Funds") and certain institutional investors.  Prior  
to June 30, 1980, FIL was a majority-owned subsidiary of Fidelity.  On that  
date, the shares of FIL held by Fidelity were distributed, as a dividend, to  
the shareholders of FMR.  FIL currently operates as an entity independent of  
FMR and Fidelity.  The International Funds and FIL's other clients, with the  
exception of Fidelity and an affiliate of Fidelity, are non-U.S. entities.   
Various foreign-based subsidiaries of FIL are also engaged in investment  
management.  The principal office of FIL is located at Pembroke Hall, 42 Crow  
Lane, Hamilton, Bermuda.  
  
	Prior to June 30, 1980, FIL was a majority-owned subsidiary of Fidelity.   
On that date, the shares of FIL held by Fidelity were distributed, as a  
dividend, to the shareholders of FMR.  FIL currently operates as an entity  
independent of FMR and Fidelity.  The International Funds and FIL's other  
clients, with the exception of Fidelity and an affiliate of Fidelity, are non- 
U.S. entities.  
  
	Edward C. Johnson 3d owns 24.9% of the outstanding voting common stock  
of FMR.  In addition, a partnership controlled by Mr. Johnson and members of  
his family own shares of FIL voting stock with the right to cast approximately  
47.22% of the total votes which may be cast by all holders of FIL voting  
stock.  Mr. Johnson 3d is Chairman of FMR Corp. and FIL.  FMR Corp. and FIL  
are separate and independent corporate entities.  FMR Corp. and FIL are  
managed independently and their boards of Directors are generally composed of  
different individuals.  Their investment decisions are made independently, and  
clients are different organizations.  The business address and principal  
occupation of Mr. Johnson 3d is set forth in Schedule A hereto.  
  
	Effective July 1, 1993, Fidelity became sub-advisor to Fidelity American  
Special Situations Trust ("FASST").  
  
	FASST is a unit trust established and authorized by the Department of  
Trade and Industry under the laws of England.  The investment advisor of FASST  
is Fidelity Investment Services Limited, an English company and a subsidiary  
of FIL.  
  
	The Shares to which this statement relates are owned directly by six of  
the Fidelity Funds, seventeen of the Accounts, FASST, and by Fidelity  
International Limited, through its subsidiaries and affiliates.  
  
	FMR and FIL are of the view that they are not acting as a "group" for  
purposes of Section 13(d) under the Securities Exchange Act of 1934 (the "1934  
Act") and that they are not otherwise required to attribute to each other the  
"beneficial ownership" of securities "beneficially owned" by the other  
corporation within the meaning of Rule 13d-3 promulgated under the 1934 Act.   
Therefore, they are of the view that the Shares held by the other corporations  
need not be aggregated for purposes of Section 13(d).  However, FMR is making  
this filing on a voluntary basis as if all of the Shares are beneficially  
owned by FMR and FIL on a joint basis.  
  
	The name, residence or business address, principal occupation or  
employment and citizenship of each of the executive officers and directors of  
FMR are set forth in Schedule A hereto.  
  
	Within the past five years, none of the persons named in this Item 2 or  
listed on Schedule A has been convicted in any criminal proceeding (excluding  
traffic violations or similar misdemeanors) or has been a party to any civil  
proceeding and as a result thereof was or is subject to any judgment, decree  
or final order enjoining future violations of, or prohibiting or mandating  
activities subject to federal or state securities laws or finding any  
violations with respect to such laws.  
  
Item 3.	Source and Amount of Funds or Other Consideration.  
  
	Item 3 is amended as follows:  
  
	The Fidelity Funds which own or owned Shares purchased in the aggregate  
1,109,298 Shares for cash in the amount of approximately $15,836,205,  
including brokerage commissions.  The Fidelity Funds used their own assets in  
making such purchase and no part of the purchase price is represented by  
borrowed funds.  Proceeds from 194,400 Shares sold aggregated approximately  
$3,057,658.  The attached Schedule B sets forth Shares purchased and/or sold  
since April 12, 1995.  
  
	The Accounts of FMTC which own or owned Shares purchased in the  
aggregate 2,569,350 Shares for cash in the amount of approximately  
$39,320,446, including brokerage commissions.  The Accounts used their own  
assets in making such purchase and no part of the purchase price is  
represented by borrowed funds.  Proceeds from 0 Shares sold aggregated  
approximately $0.  The attached Schedule B sets forth Shares purchased and/or  
sold since April 12, 1995.  
  
	FASST which own or owned Shares purchased in the aggregate 60,000 Shares  
for cash in the amount of approximately $955,062, including brokerage  
commissions.  FASST used its own assets in making such purchase and no part of  
the purchase price is represented by borrowed funds.  Proceeds from 0 Shares  
sold aggregated approximately $0.  The attached Schedule B sets forth Shares  
purchased and/or sold since April 12, 1995.  
  
Item 4.	Purpose of Transaction.  
  
	Item 4 is amended as follows:  
  
	The purpose of Fidelity and FMTC in having the Fidelity Funds and the  
Accounts purchase Shares (see Item 5 below) is to acquire an equity interest  
in the Company in pursuit of specified investment objectives established by  
the Board of Trustees of the Fidelity Funds and by the investors in the  
Accounts.  
  
	Fidelity and FMTC, respectively, may continue to have the Fidelity Funds  
and the Accounts purchase Shares subject to a number of factors, including,  
among others, the availability of Shares of sale at what they consider to be  
reasonable prices and other investment opportunities that may be available to  
the Fidelity Funds and Accounts.  
  
	Fidelity and FMTC, respectively, intend to review continuously the  
equity position of the Fidelity Funds and Accounts in the Company.  Depending  
upon future evaluations of the business prospects of the Company and upon  
other developments, including, but not limited to, general economic and  
business conditions and money market and stock market conditions, Fidelity may  
determine to cease making additional purchases of Shares or to increase or  
decrease the equity interest in the Company by acquiring additional Shares, or  
by disposing of all or a portion of the Shares.  
  
	Neither Fidelity nor FMTC has any present plan or proposal which relates  
to or would result in (i) an extraordinary corporate transaction, such as a  
merger, reorganization, liquidation, or sale of transfer of a material amount  
of assets involving the Company or any of its subsidiaries, (ii) any change in  
the Company's present Board of Directors or management, (iii) any material  
changes in the Company's present capitalization or dividend policy or any  
other material change in the Company's business or corporate structure, (iv)  
any change in the Company's charter or by-laws, or (v) the Company's common  
stock becoming eligible for termination of its registration pursuant to  
Section 12(g)(4) of the 1934 Act.  
  
Item 5.	Interest in Securities of Issuer.  
  
	Item 5 is amended as follows:  
  
	Although Item 5 assumes that FMR, Fidelity, FMTC, FASST, and FIL  
beneficially own all 3,544,248 Shares, reference is made to Item 2 for a  
disclaimer of beneficial ownership with respect to the securities which are  
"beneficially owned" by the other corporations.  
  
	(a)	FMR beneficially owns, through Fidelity, as investment advisor to  
the Fidelity Funds, 914,898 Shares, or approximately 4.47% of the outstanding  
Shares of the Company, and through FMTC, the managing agent for the Accounts,  
2,569,350 Shares, or approximately 12.55% of the outstanding Shares of the  
Company.  FIL beneficially owns, as investment advisor to the International  
Funds, 60,000 Shares, or approximately 0.29% of the outstanding Shares of the  
Company.  Neither FMR, Fidelity, FMTC, nor any of its affiliates nor, to the  
best knowledge of FMR, any of the persons name in Schedule A hereto,  
beneficially owns any other Shares.  The combined holdings of FMR, Fidelity,  
FMTC, FASST, and FIL are 3,544,248 Shares, or approximately 17.31% of the  
outstanding Shares of the Company.  
  
	(b)	FMR, through is control of Fidelity, investment advisor to the  
Fidelity Funds, and the Funds each has sole power to dispose of the Shares.   
Neither FMR nor Mr. Johnson has the sole power to vote or direct the voting of  
the 914,898 Shares owned directly by the Fidelity Funds, which power resides  
with the Funds' Boards of Trustees.  Fidelity carries out the voting of the  
Shares under written guidelines established by the Funds' Board of Trustees.   
FMR, through its control of FMTC, investment manager to the Accounts, and the  
Accounts each has sole dispositive power over 2,569,350 Shares and sole power  
to vote or to direct the voting of 2,561,550 Shares, and no power to vote or  
to direct the voting of 7,800 Shares owned by the Accounts.  FIL, FMR Corp.,  
through its control of Fidelity, and FASST each has sole power to vote and to  
dispose of the 60,000 Shares held by FASST.    
  
	(c)	Except as set forth in Schedule B, neither FMR, or any of its  
affiliates, nor, to the best knowledge of FMR, any of the persons named in  
Schedule A hereto has effected any transaction in Shares during the past sixty  
(60) days.  
  
Item 6.	Contract, Arrangements, Understandings or Relationships With  
Respect to Securities of the Issuer.  
  
	Neither FMR nor any of its affiliates nor, to the best knowledge of FMR,  
any of the persons named in Schedule A hereto has any joint venture, finder's  
fee, or other contract or arrangement with any person with respect to any  
securities of the Company.  
  
Item 7.	Material to be Filed as Exhibits.  
  
	Not Applicable.  
  
	This statement speaks as of its date, and no inference should be drawn  
that no change has occurred in the facts set forth herein after the date  
hereof.  
  
Signature  
  
	After reasonable inquiry and to the best of my knowledge and belief, I  
certify that the information set forth in this statement is true, complete and  
correct.  
  
						FMR Corp.  
  
  
  
DATE:	May 2, 1995	By:	/s/Arthur Loring			  
	Arthur Loring  
	Vice President-Legal  
  
  
 
 
SCHEDULE A  
  
	The name and present principal occupation or employment of each  
executive officer and director of FMR Corp. are set forth below.  The business  
address of each person is 82 Devonshire Street, Boston, Massachusetts 02109,  
and the address of the corporation or organization in which such employment is  
conducted is the same as his business address.  All of the persons listed  
below are U.S. citizens.  
  
POSITION WITH  
									PRINCIPAL  
NAME	FMR CORP.	OCCUPATION  
  
Edward C. Johnson 3d	President,	Chairman of the  
Director, CEO	Board and CEO, FMR  
Chairman &  
Mng. Director  
  
J. Gary Burkhead	Director	President-Fidelity  
  
Caleb Loring, Jr.	Director,	Director, FMR  
	Mng. Director  
  
James C. Curvey	Director, 	Sr. V.P., FMR  
	Sr. V.P.  
  
William L. Byrnes	Vice Chairman	Vice Chairman, FIL  
Director & Mng.  
Director  
  
Robert C. Pozen	Sr. V.P. & Gen'l	Sr. V.P. & Gen'l  
	Counsel	Counsel, FMR  
  
Mark Peterson	Exec.	Exec.  
V.P.-Management	V.P.-Management  
Resources	Resources, FMR  
  
Denis McCarthy	Sr. Vice Pres. - 	Vice Pres., Chief  
Chief Financial	Financial Officer,  
Officer	FMR  
  
 
 
SCHEDULE B  
  
  
Continental Airlines Incorporated  
  
Four Fidelity Fund(s) purchased Shares since April 12, 1995 at the dates and  
at the prices set forth below.  The transactions were made for cash in open  
market transactions or with other investment companies with the same or an  
affiliated investment advisor.  
  
	DATE	SHARES	PRICE  
  
	04-13-95	57,100	$14.36  
	04-17-95	46,700	14.58  
  
 
 
SCHEDULE B  
  
  
Continental Airlines Incorporated  
  
One Fidelity Fund(s) sold Shares since April 12, 1995 at the dates and at the  
prices set forth below.  The transactions were made for cash in open market  
transactions or with other investment companies with the same or an affiliated  
investment advisor.  
  
	DATE	SHARES	PRICE  
  
	04-25-95	7,800	$14.50  
 
 
SCHEDULE B  
  
  
Continental Airlines Incorporated  
  
Seven Account(s) purchased Shares since April 12, 1995 at the dates and at the  
prices set forth below.  The transactions were made for cash in open market  
transactions or with other investment companies with the same or an affiliated  
investment advisor.  
  
	DATE	SHARES	PRICE  
  
	04-12-95	1,400	$12.63  
	04-13-95	14,100	13.48  
	04-17-95	54,600	14.58  
 
 
SCHEDULE B  
  
  
Continental Airlines Incorporated  
  
FASST Account(s) purchased Shares since April 12, 1995 at the dates and at the  
prices set forth below.  The transactions were made for cash in open market  
transactions or with other investment companies with the same or an affiliated  
investment advisor.  
  
	DATE	SHARES	PRICE  
  
	04-18-95	20,000	$14.71  
	04-28-95	40,000	16.45