Breaux is leaving just before the start of training camp, which opens Sunday. He worked for head coach Joe Gibbs as running backs coach from 1981-93, and as offensive coordinator from 2004-07.
Gibbs retired for a second time after last season and was replaced by Jim Zorn.
"It was a privilege to coach for one of the NFL's premier franchises for 17 years under an outstanding leader of men in Joe Gibbs," Breaux said.
He also worked for the New York Jets in 1994, and for the Carolina Panthers from 1995-02.
Breaux played three seasons in the AFL. After coaching in college, his first NFL coaching job was with the Houston Oilers in 1972.
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