The classic Tom and Jerry series received 13 Academy Award nominations.
Those nominations were for Best Short Subject, Cartoon—the Oscar category later known as Best Animated Short Film. The total covers the original MGM theatrical series associated with William Hanna and Joseph Barbera, including the early short Puss Gets the Boot, which introduced the duo before they were consistently marketed as Tom and Jerry.
Seven of the 13 nominated shorts won. The winning run included The Yankee Doodle Mouse in 1943, Mouse Trouble in 1944, Quiet Please! in 1945, The Cat Concerto in 1947, The Little Orphan in 1949, Two Mouseketeers in 1952, and Johann Mouse in 1953. That record made Tom and Jerry one of animation’s most Oscar-decorated character series.
A common mix-up is to answer seven because that is the number of wins, not nominations. Another is to count later television productions or every Tom and Jerry film; the 13 figure refers to the classic MGM theatrical shorts, most of which were made during the 1940–1958 Hanna-Barbera era.