The former Frasier star originally exchanged vows with the Brit in February 2011, but the couple decided to do it all again during a trip to Sin City this weekend and they wed in an intimate ceremony at the Little Church of the West on Saturday night (02Jun12).
Grammer tells People.com, "Kayte's the most wonderful person in the world. I'm just so happy! We're really excited.
"I've always wanted shot-gun wedding pictures so we can show the kids later on! We wanted to celebrate and re-dedicate (ourselves) to how much we love each other and to our growing family around the bend... I love that she had the courage to marry me twice!"
Walsh is due to give birth to twins next month (Jul12). The babies will be Grammer's fifth and sixth kids.