Forsch, 61, is survived by his wife Jan and two daughters, Amy and Kristin.
One of just 28 pitchers to throw multiple Major League no-hitters, Forsch recently finished his third season as the pitching coach for the Billings Mustangs.
Forsch spent most of his 16-year Major League career in a St. Louis Cardinals uniform, where he threw his no-hitters in 1978 and 1983. He and his brother Ken Forsch are the only set of brothers to both pitch official no-hitters.
Overall, Forsch pitched in the Big Leagues from 1974 to 1989 and finished with a record of 168-136 and a career 3.76 ERA. His best year came in 1977 when he compiled a 20-7 record.
He was a member of the Cardinals 1982 World Championship team and also pitched in the 1985 and 1987 World Series. He remains third all-time in Cardinals franchise history in pitching wins.