Alex Foster (born May 10, 1953) is an American jazz musician who plays alto and tenor saxophone. He has recorded for record labels since the early 1970s. He is known for playing alto sax in the Saturday Night Live Band. He is also the co-musical director for the Mingus Big Band (which was nominated for a Grammy Award in 2005, and later winning the award for Best Large Jazz Ensemble), Mingus Orchestra and Mingus Dynasty. He initially joined the SNL Band in 1985, and left in 1990. He came back five years later in 1995, and has been there ever since.