Clifford Laconia Jordan (September 2, 1931 – March 27, 1993) was an American jazz tenor saxophone player. While in Chicago, he performed with Max Roach, Sonny Stitt, and some rhythm and blues groups. He moved to New York City in 1957, after which he recorded three albums for Blue Note. He recorded with Horace Silver, J.J. Johnson, and Kenny Dorham, among others. He was part of the Charles Mingus Sextet, with Eric Dolphy, during its 1964 European tour.

Jordan toured Africa with Randy Weston, and performed in Paris while living in Belgium. In later years, he led his own groups, performed with Cedar Walton‘s quartet Eastern Rebellion, and led a big band.

Jordan was married to Shirley Jordan, a designer and former owner of The Clothes Gallery in New York. He later married Sandy Jordan (née Williams), a graphic artist and Honorary Founders Board member of the Jazz Foundation of America.