He died at St Peter's Hospital in Albany of complications of colon cancer, Forst's companion, Val Haynes, said.
Forst's journalism career started in the mid-1950s and included stints as cultural editor of The New York Times, assistant city editor of the New York Post and editor in chief of the Boston Herald. He also worked at the Los Angeles Herald Examiner, the Houston Press and Boston Magazine.
Dwyer, who won a Pulitzer for commentary at New York Newsday in 1995, said that he and many others were "mentored, nurtured, prodded, tormented by Don into writing lively, accurate stories."
"He might send somebody to go live in an obscure village in the Dominican Republic for three months," said Dwyer, now a New York Times columnist. "He might send someone else to write about the subways three times a week because that was the defining experience of a New Yorker.
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Collins, now an op-ed Times columnist, said Forst "really believed in the life of the tabloid. He believed in that hard news reporting. He believed in big headlines. He believed in newspapers for the common man."
Newsday's other Pulitzer under Forst's leadership was for coverage of a 1991 subway derailment that killed five passengers.
Glenn Kessler, a New York Newsday alumnus who now writes the Fact Checker blog for The Washington Post, credited the Pulitzer win to Forst's "eye for talent and skillful, demanding editing."
After New York Newsday folded, Forst surprised many by taking a job as editor in chief of the Voice, the alternative weekly then struggling for an identity. The Voice won a Pulitzer for international reporting for a series on AIDS in Africa in 2000.