Los Angeles Superior Court spokeswoman Patricia Kelly said Hassan Omar Juma would return to court on February 8. He faces up to six years in prison if convicted.
Diggs, 43, who plays Dr Sam Bennett in the TV medical drama, detained Juma, 20, after he and his wife said they found him in their garage on Sunday night.
The actor had returned from the Screen Actors Guild Awards, where he was a presenter.
Juma, charged on Tuesday with first-degree felony residential burglary, was jailed in lieu of 50,000 dollars bail.
Police say Diggs caught Juma after chasing him. Neither man was hurt in the incident.