He was 63.
Thompson's death was confirmed by his ex-wife, director-producer Lyndall Hobbs.
She said Thompson was discovered unconscious by a caregiver at Curry's home on Friday night. An autopsy is being performed to determine the cause of death, reported Variety.
Thompson's career stretched from the mid-1970s, through series and pilots ranging from "Bosom Buddies," which marked Tom Hank's breakout vehicle, to the biting Fox showbiz satire "Action."
But his fortunes had been at a low ebb in the five years since he launched the Disney Channel series "Shake It Up!"
Since his death, several TV stars have taken to social media to remember Thompson, including "Shake It Up!" stars Zendaya and Bella Thorne.