SCHEDULE 13G

Amendment No. 1
Corn Products International Incorporated
common stock
Cusip # 219023108

Cusip # 219023108
Item 1:	Reporting Person - FMR Corp.
Item 4:	Commonwealth of Massachusetts
Item 5:	738,688
Item 6:	0
Item 7:	3,744,940
Item 8:	0
Item 9:	3,744,940
Item 11:	10.037%
Item 12:	    HC

Cusip # 219023108
Item 1:	Reporting Person - Edward C. Johnson 3d
Item 4:	United States of America
Item 5:	0
Item 6:	0
Item 7:	3,744,940
Item 8:	0
Item 9:	3,744,940
Item 11:	10.037%
Item 12:	IN

Cusip # 219023108
Item 1:	Reporting Person - Abigail P. Johnson
Item 4:	United States of America
Item 5:	None
Item 6:	None
Item 7:	3,744,940
Item 8:	None
Item 9:	3,744,940
Item 11:	10.037%
Item 12:	    IN


SCHEDULE 13G - TO BE INCLUDED IN STATEMENTS
FILED PURSUANT TO RULE 13d-1(b) or 13d-2(b)


Item 1(a).	Name of Issuer:

		Corn Products International Incorporated

Item 1(b).	Name of Issuer's Principal Executive Offices:

		P. O. Box 345, 6500 Archer Road
		Summit, IL  60501

Item 2(a).	Name of Person Filing:

		FMR Corp.

Item 2(b).	Address or Principal Business Office or, if None,
Residence:

		82 Devonshire Street, Boston, Massachusetts  02109

Item 2(c).	Citizenship:

		Not applicable

Item 2(d).	Title of Class of Securities:

		common stock

Item 2(e).	CUSIP Number:

		219023108

Item 3.	This statement is filed pursuant to Rule 13d-1(b) or 13d-
2(b) and the person filing, FMR Corp., is a parent holding company in
accordance with Section 240.13d-1(b)(ii)(G).  (Note:  See Item 7).

Item 4.	Ownership

	(a)	Amount Beneficially Owned:	3,744,940

	(b)	Percent of Class:	10.037%

	(c)	Number of shares as to which such person has:

	(i)	sole power to vote or to direct the vote:	738,688

	(ii)	shared power to vote or to direct the vote:	0

	(iii)	sole power to dispose or to direct the disposition of:
	3,744,940

	(iv)	shared power to dispose or to direct the disposition of:
	0




Item 5.	Ownership of Five Percent or Less of a CommonStock.

	Not applicable.

Item 6.	Ownership of More than Five Percent on Behalf of Another
Person.

	Various persons have the right to receive or the power to direct
the receipt of dividends from, or the proceeds from the sale of, the
common stock of Corn Products International Incorporated.  No one
person's interest in the common stock of Corn Products International
Incorporated is more than five percent of the total outstanding common
stock.

Item 7.	Identification and Classification of the Subsidiary Which
Acquired the Security Being Reported on By the Parent Holding Company.

	See attached Exhibit(s) A, B.

Item 8.	Identification and Classification of Members of the Group.

	Not Applicable. See attached Exhibit A.

Item 9.	Notice of Dissolution of Group.

	Not applicable.

Item 10.	Certification.

	By signing below I certify that, to the best of my knowledge and
belief, the securities referred to above were acquired in the ordinary
course of business and were not acquired for the purpose of and do not
have the effect of changing or influencing the control of the issuer of
such securities and were not acquired in connection with or as a
participant in any transaction having such purpose or effect.

Signature

	After reasonable inquiry and to the best of my knowledge and
belief, I certify that the information set forth in this Schedule 13G
in connection with FMR Corp.'s beneficial ownership of the common stock
of Corn Products International Incorporated at May 31, 1999 is true,
complete and correct.

	June 10, 1999
Date


	/s/Eric D. Roiter
Signature


	Eric D. Roiter
	Duly authorized under Power of Attorney
	dated December 30, 1997, by and on behalf
	of FMR Corp. and its direct and indirect
	subsidiaries



SCHEDULE 13G - TO BE INCLUDED IN STATEMENTS
FILED PURSUANT TO RULE 13d-1(b) or 13d-2(b)

	Pursuant to the instructions in Item 7 of Schedule 13G, Fidelity
Management & Research Company ("Fidelity"), 82 Devonshire Street,
Boston, Massachusetts 02109, a wholly-owned subsidiary of FMR Corp. and
an investment adviser registered under Section 203 of the Investment
Advisers Act of 1940, is the beneficial owner of 2,957,027 shares or
7.925% of the common stock outstanding of Corn Products International
Incorporated  ("the Company") as a result of acting as investment
adviser to various investment companies registered under Section 8 of
the Investment Company Act of 1940.

	Edward C. Johnson 3d, FMR Corp., through its control of Fidelity,
and the funds each has sole power to dispose of the 2,957,027 shares
owned by the Funds.

	Neither FMR Corp. nor Edward C. Johnson 3d, Chairman of FMR
Corp., has the sole power to vote or direct the voting of the 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' Boards of
Trustees.

	Fidelity Management Trust Company, 82 Devonshire Street, Boston,
Massachusetts 02109, a wholly-owned subsidiary of FMR Corp. and a bank
as defined in Section 3(a)(6) of the Securities Exchange Act of 1934,
is the beneficial owner of  787,913 shares or 2.111% of the common
stock outstanding of the Company as a result of its serving as
investment manager of the institutional account(s).

	Edward C. Johnson 3d and FMR Corp., through its control of
Fidelity Management Trust Company, each has sole dispositive power over
787,913 shares and sole power to vote or to direct the voting of
738,688 shares, and no power to vote or to direct the voting of 49,225
shares of common stock owned by the institutional account(s) as
reported above.

	Members of the Edward C. Johnson 3d family are the predominant
owners of Class B shares of common stock of FMR Corp., representing
approximately 49% of the voting power of FMR Corp.  Mr. Johnson 3d owns
12.0% and Abigail Johnson owns 24.5% of the aggregate outstanding
voting stock of FMR Corp.  Mr. Johnson 3d is Chairman of FMR Corp. and
Abigail P. Johnson is a Director of FMR Corp.  The Johnson family group
and all other Class B shareholders have entered into a shareholders'
voting agreement under which all Class B shares will be voted in
accordance with the majority vote of Class B shares.  Accordingly,
through their ownership of voting common stock and the execution of the
shareholders' voting agreement, members of the Johnson family may be
deemed, under the Investment Company Act of 1940, to form a controlling
group with respect to FMR Corp.





SCHEDULE 13G - TO BE INCLUDED IN STATEMENTS
FILED PURSUANT TO RULE 13d-1(b) or 13d-2(b)
RULE 13d-1(f)(1)  AGREEMENT

	The undersigned persons, on June 10, 1999, agree and consent to
the joint filing on their behalf of this Schedule 13G in connection
with their beneficial ownership of the common stock of Corn Products
International Incorporated at May 31, 1999.

FMR Corp.

By   /s/Eric D. Roiter
	Eric D. Roiter
	Duly authorized under Power of Attorney
	dated December 30, 1997, by and on behalf
	of FMR Corp. and its direct and indirect
	subsidiaries

Edward C. Johnson 3d

By   /s/Eric D. Roiter
	Eric D. Roiter
	Duly authorized under Power of Attorney
	dated December 30, 1997, by and on behalf
	of Edward C. Johnson 3d

Abigail P. Johnson

By   /s/Eric D. Roiter
	Eric D. Roiter
	Duly authorized under Power of Attorney
	dated December 30, 1997, by and on behalf
	of Abigail P. Johnson

Fidelity Management & Research Company

By   /s/Eric D. Roiter
	Eric D. Roiter
	V.P. and General Counsel