Los Angeles ? The Tomkitten has arrived.

Tom Cruise and Katie Holmes, the public lovebirds dubbed TomKat by the media, had a baby girl Tuesday, said Cruise spokesman Arnold Robinson.

The baby, named Suri, weighed 7 pounds, 7 ounces and measured 20 inches long, he said.

“Both mother and daughter are doing well,” Robinson said in a prepared statement.

The name Suri has its origins in Hebrew, meaning “princess,” or in Persian, meaning “red rose,” the statement said.

The baby was born in Los Angeles but the exact location was not disclosed.

Katie Holmes and Tom Cruise arrive at the premiere of War

“Yay, yay, yay,” said actress and fellow Scientologist Kirstie Alley. “Bring her over so I can meet her.”

It’s the first child for Holmes, 27. Cruise, 43, has an adopted daughter and son from his marriage to Nicole Kidman.

Details surrounding the birth, which was planned under the tenets of the Church of Scientology as a silent procedure, weren’t disclosed.

Scientologists believe words spoken during times of pain are recorded by the “reactive mind” and can potentially cause problems for mother and baby later in life.

Ironically, Suri was born the same day as Brooke Shields’ newborn daughter, Grier Hammond Henchy.

Shields and Cruise had a public spat last year after he criticized the actress for taking antidepressants following the birth of her first child.

Brooke Shields, Chris Henchy

Appearing on NBC’s “Today” show, Cruise said there was no such thing as chemical imbalances that need to be corrected with drugs, and that depression could be treated with exercise and vitamins.

A publicity blitz for Cruise’s new movie, “Mission: Impossible III,” was set to begin today but the actor canceled all press appearances, a Paramount representative said.

It was just about a year ago that Cruise’s romance with Holmes became a world sensation. He and Holmes, a star of TV’s “Dawson’s Creek,” had first been photographed together in April 2005 in Rome.

She had previously been engaged to actor Chris Klein; Cruise had been married to Mimi Rogers as well as Kidman, and had dated Penelope Cruz for several years.

In June, Cruise announced to a Paris news conference that he had proposed to Holmes atop the Eiffel Tower.

No wedding date has been disclosed.