James Henry Jones (December 30, 1918, Memphis, Tennessee – April 29, 1982, Burbank, California) was an American jazz pianist and arranger.

As a child, Jones learned guitar and piano. He worked in Chicago orchestras from 1936 and played in a trio with Stuff Smith from 1943 to 1945.Following this, he played with Don Byas, Dizzy Gillespie (1945), J.C. Heard (1945–47), Buck Clayton (1946) and Etta Jones. He accompanied Sarah Vaughan from 1947 to 1952, and then again from 1954 to 1958 after a long illness. In 1954, he played on an album with Clifford Brown and accompanied him on his European tour. Around this time, he also played with Helen Merrill and Gil Evans. In 1959, he accompanied Anita O’Day in her appearance at the Newport Jazz Festival and worked with Dakota Staton, Pat Suzuki, and Morgana King.

As a pianist and arranger in New York City, he worked in the 1960s with Harry Belafonte, Johnny Hodges, Budd Johnson, Nat Gonella, and Clark Terry. He accompanied Chris Connor on her version of “Where Flamingoes Fly”, and sat in with Duke Ellington‘s Orchestra for some collaborations with Ella Fitzgerald. Jones did a set with his trio (Jimmy Hughart and Grady Tate) at the Antibes Jazz Festival in 1966, and the following year toured with Jazz at the Philharmonic. In the 1970s, he worked with Kenny Burrell and Cannonball Adderley.