“Love & Basketball” star Sanaa Lathan is being stalked by a man claiming to be her husband … who was discovered sleeping in her home … law enforcement sources tell TMZ.

Lathan just got a restraining order against 28-year-old Shawn Caples, who was discovered dead asleep in her laundry room last Friday by contractors.

The man — who insisted he was Lathan’s hubby — was shooed away … but she says he reappeared later that day. Lathan screamed at him to “get the f*** out of here” and then called the cops when he refused to leave.

In her docs, Lathan says Caples showed up at her doorstep 3 days later … and she hid in fear.

Caples is now behind bars after being arrested for stalking. He’s been ordered to stay at least 100 yards away from Lathan once he’s released.