James Milton Cleveland (May 3, 1926 – August 23, 2008) was an American jazz trombonist born in Wartrace, Tennessee.

Cleveland worked with many other jazz musicians, including Lionel Hampton, Miles Davis, Sarah Vaughan, Antonio Carlos Jobim, Quincy Jones, Lucky Thompson, Gigi Gryce, Oscar Peterson, Oscar Pettiford and James Brown. He also recorded a sequence of albums for EmArcy/Mercury Records in the 1950s. He continued to make records with Zion Records later in his career.

Cleveland died August 23, 2008 in Lynwood, California at age 82.

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