He is the Principal Conductor of the Orchestra at Temple Square in Salt Lake City, Utah, a position he has held since 2003.

In May 2009, Igor Gruppman was appointed by Valery Gergiev to the position of music director of the newly formed Mariinsky Stradivary Orchestra.

Gruppman also studied with Jasha Heifetz at the USC School of Music in Los Angeles.

Gruppman and his wife won a Grammy Award in 1993 for the recording of Malcolm Arnold's Concerto for two violins.

Gruppman and his wife Vesna Stefanovich-Gruppman were members of the music faculty at Brigham Young University from 1997 to 2003.