D'Amico played violinat first, but then switched over to the clarinet. He had his first appearances in Buffalo, New York and played in bands that operated between Buffalo and Chicago. In 1936, he played at Paul Specht and then with Red Norvo. In 1938 had his own octet, but in 1939 he returned to Norvo. Around 1940, he played in the Orchestra of Bob Crosby and had his own big bandin 1941. He then worked at Les Brown, Benny Goodman and Norvo again before a studio musician in New York to be at the radio. He also played at Miff Mole and Tommy Dorsey. After ten years at ABC he worked in 1947 at the trombonist Jack Teagarden. He then played in small groups, and led his own band he also occasionally. In 1964, he performed with a trio on during the world exhibition in New York.
- Hank's Holiday, Bethlehem, 1954
- Hank D'Amico Quartet, Bethlehem, 1954