Herb Flemming (April 5, 1898 – October 3, 1976) was an American jazz trombonist and vocalist who played extensively in Europe.
He played with Fred Tunstall in 1921 and recorded with Johnny Dunn before joining Sam Wooding and Bobby Lee's band in Philadelphia.
Late in the 1920s he joined Lew Leslie's Blackbirds show, which toured London and Paris toward the end of the decade.
Flemming returned to the United States at the end of the 1930s to play with Earl Hines, but was prevented from joining the band due to problems with the city musicians' union.
He moved to Spain in 1964 and held residencies in Madrid, Torremolinos, and Málaga; near the end of his life he recorded with Albert Nicholas and Walter Bishop, Sr. After more time in Italy and Germany, he returned to the U.S. in 1976 and died shortly thereafter.