Jimmy Cozier Sr. (born 1954) is a jazz musician from New York City.

He plays saxophone, flute, and clarinet. He is the father of R&B singer Jimmy Cozier.

He has performed and toured with Panama Francis, Sam Rivers, Reggie Workman, Mongo Santamaria, and Abdullah Ibrahim. He played lead alto saxophone with the big bands of Cab Calloway, Frank Foster, Charlie Persip, Jaki Byard, and Chico O'Farrill.

Background Cozier studied saxophone with Bill Barron, George Coleman, and William "Buddy" Pearson and clarinet with Charles Russo of the New York City Opera. He is the author of The Jazz Improviser's Woodshed Volumes 1–3 and is a member of the faculty of the Jazz at Lincoln Center Middle School Jazz Academy.

Cozier also leads ensemble workshops where he teaches jazz improvisation. He is a recipient of the National Endowment for the Arts Fellowship Grant.

Discography With Chico O'Farrill Heart of a Legend Milestone (1999)Heart of a Legend Carambola (Milestone, 2000)Carambola

With Mongo Santamaria Mambo Mongo (Chesky, 1992)Mambo Mongo Brazilian Sunset (1992)Brazilian Sunset

With others Colours, Sam Rivers (Black Saint, 1983)Colours No Fear, No Die soundtrack, Abdullah Ibrahim (Tip Toe, 1990)No Fear, No Die Anatomy of Groove, M-Base Collective (DIW/Columbia, 1993)Anatomy of a Groove All My Tomorrows, Grover Washington Jr. (Columbia, 1994)All My Tomorrows With Love, Charles Tolliver (Blue Note, 2007)With Love

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