Henry Clay Goodwin (born January 2, 1910, Columbia, South Carolina - July 2, 1979, New York City) was an American jazz trumpeter.

Goodwin learned to play drums and tuba in addition to trumpet while in high school in Washington, DC; he accompanied Claude Hopkins in Europe in 1925. Late in the 1920s he played with Cliff Jackson and Elmer Snowden, then worked in the 1930s with Lucky Millinder, Willie Bryant, Charlie Johnson, Cab Calloway, Kenny Clarke, and Edgar Hayes. During World War II he worked primarily with Sidney Bechet and Cecil Scott, but turned his focus away from big band ensembles after 1944, working with Scott in small groups as well as with Art Hodes, Mezz Mezzrow, and Bob Wilber. In the 1950s he played with Jimmy Archey and Earl Hines, and occasionally played with Dixieland revival groups during the 1960s.

Gunther Schuller described Goodwin as "a most assured swing stylist and specialist in the plunger and growl."