Kayte and Kelsey Grammer in N.Y.C.
Pacific Coast News
06/02/2012 at 09:00 AM EDT
One wedding just wasn't enough for Kelsey Grammer, so on Saturday night, he and wife Kayte Grammer tied the knot for a second time, the actor's rep confirms to PEOPLE exclusively.
Fifteen months after marrying in New York City's Longacre Theater
on February 25, 2011, the love birds exchanged vows during an intimate ceremony at the Little Church of the West in Las Vegas.
"Kayte's the most wonderful person in the world," Grammer, 57, tells PEOPLE of his bride, who wore a custom-made Peter Langner baby-doll dress for the nuptials, which was private for the couple. "I'm just so happy! We're really excited."
Of course the celebration doesn't stop here: next month, 31-year-old Kayte is expecting twins
. "I've always wanted shot-gun wedding pictures so we can show the kids later on!" says Grammer, with a laugh.
"We wanted to celebrate and re-dedicate [ourselves] to how much we love each other and to our growing family around the bend," says the Boss
star, who donned a Tom Ford suit at the Sin City wedding, inspired in part by the 1964 Elvis Presley-Ann Margaret classic, Viva Las Vegas
As for Grammer, he's just grateful Kayte's took the plunge again, admitting, "I love that she had the courage to marry me twice!"