Joshua James Corbett, 39, faces one felony count each of first-degree residential burglary, stalking and possession of a machine gun, said Deputy District Attorney Wendy Segall.
He allegedly climbed over a fence gain access to Bullock's West Los Angeles property and broke into the home around 1 a.m. on Sunday, Segall said.
Bullock was home at the time of the break-in.
Police responded to a 911 call from the the victim's residence, where Corbett was arrested, Segall said.
He's scheduled to be arraigned on Tuesday and prosecutors have recommended that his bail be set at $185,000.
If convicted, Corbett faces a maximum prison sentence of seven years and four months.
The case remains under investigation by the Los Angeles Police Department.