Kelsey Grammer and Kayte Walsh
06/13/2011 at 10:00 AM EDT
Life with new bride Kayte Walsh
is so good, Kelsey Grammer says it's as if he's married for the first time.
"[It's] like it's never happened before," the actor told reporters of his "fantastic" marriage before Sunday's Tony Awards at New York's Beacon Theater.
The former Tony-nominee, who presented at this year's ceremony, had Walsh
, 29, by his side just a year after he walked the red carpet with now ex-wife Camille Grammer
As for the best part of his life with Walsh, the two agree: "[It's] waking up together," Grammer, 56, told PEOPLE.
Added Walsh: "And going to bed together. He's just ... perfect."
The actor plans to spend Father's Day with Mason, 9, and Jude, 6, his children
with Camille. "I think we're going to have a barbeque," he said, adding that his kids are "very excited" about the possibility of one day having more siblings.
"They're very, very cool about it," Grammer told reporters. "My son, Jude, especially, he's like, 'When are the children coming?' "
Reporting by Hannah Kay Hunt