Harris began acting at the age of six and appeared on television from 1984 to 1993. As Bobby and Pam Ewing's adopted son Christopher Ewing, he was a regular cast member on Dallas from 1985 through 1991. He guest starred on other series including Falcon Crest, Twin Peaks, Star Trek: The Next Generation, and The Commish. He also appeared in several television movie roles based on true stories. The first was A Death in California (1985), in which he played the youngest child of Cheryl Ladd's character. His best known movie role was playing a boy dying of AIDS in the made-for-TV film Go Toward the Light (1988). He again appeared with Cheryl Ladd in Locked Up: A Mother's Rage (1991).
At the age of 15, Harris began playing baseball in school, and continued to play in college. After graduating from the University of San Diego with a bachelor's degree in Business, he played professionally for the Chicago Cubs' minor-league affiliate the Lansing Lugnuts for one season.
Following this he became a producer for production company New Wave Entertainment. In 2006, he started his own production company, 4th Wall Entertainment, specializing in television development, documentaries, commercials, feature films, and digital platforms.