A witness at the hotel saw the couple arguing Sunday, and Bruce Beresford-Redman has been detained as a suspect, said the official, who spoke on condition of anonymity because he was not authorized to talk to the media about the case.
The cause of death has not been determined.
Beresford-Redman told police Tuesday that his wife left the hotel the previous day and never returned, the official said.
Beresford-Redman was a producer for 20 episodes of the Emmy-nominated reality show "Survivor" in 2000, according to his profile on Imdb.com.
The Web site also names him as the creator of "Pimp My Ride," a popular MTV car makeover show, and as an executive producer for several episodes of "Crash Course," another reality series.
Beresford-Redman was nominated for three Emmys for his work on "Survivor," which sends a group of strangers to remote places around the world to compete for prizes that help them endure the wilderness.