Congratulations to Kings of Leon frontman Caleb Followill, who married his long-time girlfriend and model, Lily Aldridge, on Thursday (May 12) in California.

"It was a perfect day," Followill, 29, tells PEOPLE. The singer and his beautiful bride, 25, exchanged vows in an intimate late-afternoon ceremony, with only their family in attendance at the San Ysidro Ranch in Montecito, Calif. at 5:30PM.

Aldridge wore a custom-made strapless Vera Wang wedding dress, complete with layers of chantilly lace and corded lace appliqué, with a raw-edge swirling chiffon design on the backside of the gown. Followill looked sharp, sporting a Gucci suit.

Even though they kept the wedding ceremony small and intimate, the happy couple are planning to have a larger party celebration at a later date.

The all-brother band are gearing up to hit the road again later this month in support of their latest album, 'Come Around Sunshine.' Their new single, 'Back Down South,' is impacting radio now.