Eckstein was born in Los Angeles on May 3, 1928. He scripted his first tele-play, an episode of The Untouchables, in 1961. He wrote for several other drama series during the decade, and penned several episodes of the sci-fi series The Invaders. His work on that series included scripting the acclaimed 1967 episode The Summit Meeting.
He later produced many tele-films, including Death Takes a Holiday (1971) starring Monte Markham as the physical embodiment of death, and the thriller Duel (1971) which