Eddie Gomez emigrated with his family at a young age to the United States and grew up in New York. He started double bass at the age of eleven and at age thirteen went to the New York City High School of Music and Art. He graduated from Juilliard in 1963.
His impressive resume includes performances with jazz giants such as Miles Davis, Dizzy Gillespie, Gerry Mulligan, Wayne Shorter, Steve Gadd, Herbie Hancock, Tony Williams, Chick Corea and Carli Munoz. He would spend a total of eleven years with the Bill Evans Trio, which included performances throughout the United States, Europe, and Asia, as well as dozens of recordings. Two of the Trio's recordings won Grammy awards. In addition, he was a member of the Manhattan Jazz Quintet.
His career mainly consists of working as an accompanist, a position suited for his quick reflexes and flexibility. In addition to working as a studio musician for many famous jazz musicians, he has recorded as a leader for Columbia Records, Projazz and Stretch. Gomez was also a member of the fusion band Steps Ahead.