Starting with the 1944 film The Town Went Wild, Greene co-wrote many stories and scripts with Russell Rouse.
This collaboration continued with The Thief (1952), Wicked Woman (1953), New York Confidential (1955), and House of Numbers (1957).
In the late 1950s, Greene and Rouse formed Greene-Rouse Productions, which created the television series Tightrope that ran for one season (1959–1960) as well as two films in the 1960s.
In addition to their noir work, Rouse and Greene produced two westerns: The Fastest Gun Alive (1956) and Thunder in the Sun (1959).
They received the Academy Award for Pillow Talk (1959) (with Maurice Richlin and Stanley Shapiro).