updated 06/04/2012 AT 2:15 PM ET
•originally published 06/04/2012 AT 10:05 AM ET
They’re on the road to wedded bliss!
Drew Barrymore and Will Kopelman made a romantic exit from their wedding Saturday, snuggling in the back of an old classic convertible Mercedes (with the top up) that was decorated with blush and hot-pink roses as well as pink ribbons.
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.”