He acted at Newport Casino Theatre. In 1951 he won a Barter Theatre Award for most promising young actor, entitling him to work at a theatre in Virginia. He did radio in North Carolina and worked on stage in Pittsburgh.

After his role in A Month in the Country, Hedison signed a film contract with 20th Century Fox in May 1957. His first movie with them was the classic war film The Enemy Below (1957), which also starred Robert Mitchum.

His parents were Albert David Hedison (Heditsian) Sr. and Rose Boghosian; they were Armenian. He and his wife Bridget were married in London on June 29, 1968. Bridget Hedison died of breast cancer on February 22, 2016. They had two daughters, actor/director/photographer Alexandra Hedison and editor/producer Serena Hedison. Alexandra Hedison has appeared in L.A. Firefighters and The L Word and is married to actress and director Jodie Foster.

Hedison toured with Barbara Anderson and Anita Gillette in Neil Simon’s Chapter Two in 1979 and 1980.

Hedison appeared in the West Coast premiere of Forty Deuce in 1985.

From 1991 to 1996, Hedison was a regular on the long-running soap opera Another World.

He also starred in the New York City premiere of First Love with Lois Nettleton in 1999. He returned to the Cape Playhouse to appear in Tale of the Allergist’s Wife (2002), and at Monmouth University’s Pollak Theatre, in Love Letters with Nancy Dussault in 2007.

In 2006, he acted in The Scent of Jasmine at the Fountain Theatre in Los Angeles on November 13. In 2008, Hedison performed Uncle Vanya at the Actor’s Studio West. He also participated in performances of The Cherry Orchard and I Never Sang for My Father in Los Angeles in 2009. He later appeared in The Marriage Play by Edward Albee.

He died on July 18, 2019, at his home in Los Angeles.