Levitow was born in Los Angeles, California. He began working as an in-betweener at Warner Brothers Studios in 1940. Levitow briefly left Warner Brothers when he was drafted during World War II, returning in 1945. He first received animation credit in 1953 while working under the direction of Chuck Jones. He worked steadily for Jones over the remainder of the 1950s, and directed several cartoons for release in 1959, including the Pepe Le Pew cartoon Really Scent. While working under Jones, he made characters' joints more angular than most other animators. Those characters with fur (Wile E. Coyote, for example) looked especially shaggy in Levitow's scenes.