Alton "Slim" Moore (1908-1978) was an American jazz trombonist. Moore began on baritone horn before settling on trombone by age 17. He played with local bandleaders and territory bands in his youth, such as those of Georgia Barlowe, Eddie Lemon, Gonzelle White, and . He moved to New York City early in the 1930s, playing with , , and . He switched ensembles frequently in New York, and in 1938 did a short tour of Cuba with Leon Gross's orchestra. Toward the end of the decade Moore moved up to play in more high-profile bands such as those of Fats Waller, Coleman Hawkins, Hot Lips Page, and Charlie Johnson. He played with Ella Fitzgerald and Benny Carter in the early 1940s, and with Dizzy Gillespie and Louis Armstrong later in the decade.