[4][failed verification] Morris's first acting role was as a child when he appeared in the 1966 Star Trek episode "Miri".

Star Trek was, at the time, shot at the same studio (Desilu Productions) that produced Mission: Impossible, where his father was working.

In the 1990s, after starring in Andriana furs commercials Morris played a recurring character, the Johnnie Cochran-inspired defense attorney Jackie Chiles, on the comedy Seinfeld.

He also said in an interview that he grew up watching the original Mission: Impossible, with series' lead Peter Graves, whom Morris came to consider his acting mentor.

Morris also made a cameo appearance as Miles Dyson in photographs in the television series Terminator: The Sarah Connor Chronicles.

He also worked as a voice actor on The PJs; according to Morris, he acted as a temporary replacement for co-creator and star Eddie Murphy whenever he was unavailable.