The actor, born in Rochester, New York state, died on Friday of brain cancer.
It happened on the same day that El Camino, a film in which he had a role and which is based on the TV series Breaking Bad was broadcast on Netflix.
Forster also appeared in the Breaking Bad TV series as well as David Lynch's Mulholland Drive and Twin Peaks.
He was best known for his roles in the latter part of his career following his appearance in Jackie Brown.
Starring alongside Samuel L Jackson, Pam Grier and Robert De Niro, his performance was nominated for a best supporting actor Oscar.
The award eventually went to Robin Williams for his role in Good Will Hunting.
Forster is survived by his partner Denise Grayson. children Bobby, Elizabeth, Kate and Maeghen and four grandchildren.
Jackie Brown co-stars Samuel L Jackson and Pam Grier were among those to pay tribute.