By Tim Nudd
The newlyweds left the reception, held at the actress's Montecito, Calif., home, at about 1:30 a.m., and spent their first night as husband and wife at a hotel.
"Drew and Will sat in the back of the car," a source tells PEOPLE. "They would not stop kissing and looked very cute. Drew was beaming and looked extremely happy. She was still in her wedding dress."
Barrymore, 37, is expecting her first child with Kopelman, an art dealer.