In the 1960s, he also performed as a folk singer in Greenwich Village coffee houses. He and Richie Havens co-wrote the antiwar song “Handsome Johnny,” which Mr. Havens recorded in 1966 and later sang at Woodstock.
His dozens of feature films included “The Landlord” (1970), in which he played a man on the brink of insanity; “Travels With My Aunt” (1972); and “The Deep” (1977), as a Bahamian drug dealer. His later films included “Diggstown” (1992), in which he played a boxer, and the movie version of Sam Shepard’s “Curse of the Starving Class” (1994), in which he played a bar owner.
Mr. Gossett made more than 100 television appearances, ranging from lighthearted comedies like “The Partridge Family” to dramas like “Madam Secretary.” He played the title role, a Columbia anthropology professor who investigates crimes, on the short-lived 1989 series “Gideon Oliver.”
He also appeared in numerous television movies, among them “The Lazarus Syndrome” (1978), about a cardiologist; “A Gathering of Old Men” (1987), about a Black man who kills in self-defense; “Strange Justice” (1999), about the Clarence Thomas Supreme Court confirmation process (he played the presidential adviser Vernon Jordan); and “Lackawanna Blues” (2005), based on Ruben Santiago-Hudson’s play. His other TV-movie roles included the Egyptian leader Anwar Sadat and the baseball star Satchel Paige.
He continued to act until last year, when he was seen in the film version of the Broadway musical “The Color Purple.”
Mr. Gossett’s marriage to Hattie Glascoe in 1964 lasted only five months. He and Christina Mangosing married in 1973, had one child and divorced after two years. His 1987 marriage to Cyndi James Reese ended in divorce in 1992.
Mr. Gossett is survived by his sons, Satie and Sharron Gossett, and several grandchildren.
In the Television Academy interview, Mr. Gossett urged fellow actors to help effect political and social change in a disturbing world. “The arts can achieve it overnight,” he said. “Millions of people are watching.” He added, “We can get to them quicker than anybody else.”
Michael S. Rosenwald contributed reporting.