Herman “Junior” Cook (July 22, 1934 – February 3, 1992) was an American hard bop tenor saxophone player.

Cook was born in Pensacola, Florida. A member of a musical family, he started on alto saxophone before switching to tenor during his high school years.

After playing with Dizzy Gillespie in 1958, Cook was a member of the Horace SilverQuintet (1958–1964); when Silver left the group in the hands of Blue Mitchell Cook stayed in the quintet for five more years (1964–1969). Later associations included Freddie Hubbard, Elvin Jones, George Coleman, Louis Hayes (1975–1976), Bill Hardman (1979–1989), and the McCoy Tyner big band.