Archie Eugene Martin (born April 9, 1931 Independence, Missouri - March 1, 2009 San Diego) was an American jazz trombonist, who was active in the jazz scene of Kansas City.

In 1956, Martin recorded under his own name (Kansas City Jazz - The Arch Martin Quintet); his group consisted of tenor saxophonist Dick Busey, Jay Shore (piano), Dave Rizer (bass) and John Terry (drums).

For several years he worked in New York with the friend Bob Brookmeyer and as musical director for The Bonnie Sisters; he also went on tour around the 1950s with the orchestras of Claude Thornhill and Woody Herman.

In 1961 he became lead trombonist in the Warren Durrett Orchestra and became vice chairman of Kansas City Jazz, Inc.

In 1976, he received the first ever Jess Cole Award from the National Association of Jazz Educators (NAJE).