Ralph Alessi (born 1963 in San Francisco, California) is a jazz trumpeter and composer originally from San Rafael, California, probably better known for being a member of bands led by saxophonist Steve Coleman. He has also performed with a host of others musicians, including Uri Caine, Ravi Coltrane, Fred Hersch and Don Byron, among others. Alessi is also the founder and director of the School for Improvisational Music and is on faculty at New York University and New England Conservatory.