In 1983, he founded the New York Pops, the city's first permanent symphonic pops orchestra. The ensemble plays an annual season at Carnegie Hall as well as performing on tour and on television.
Henderson led hundreds of recordings, winning a Grammy in 1963 for a recording of Gershwin's Porgy and Bess. His most recent CDs included With a Song in My Heart: The Great Songs of Richard Rodgers, featuring vocalist Maureen McGovern and the Pops, and a duo recording with jazz guitarist Bucky Pizzarelli, on which Henderson played the piano.
Henderson was presented with the James Smithson Bicentennial Medal by the Smithsonian Institution in January; he received the Handel Medallion from the City of New York in 1997.
At Henderson's request, there will be no funeral. According to a spokesman for the Pops, the orchestra will continue its season as planned. The Pops' next concert, on November 11 at Carnegie Hall, is a Veteran's Day program featuring a rare performance of Marc Blitzstein's Airborne Symphony.