FIRST PIC: Tom Cruise Reunites With Suri in NYC

Tom Cruise and Suri Cruise seen on the Streets of Manhattan on July 17, 2012 in New York City.  James Devaney/WireImage.com

Tom Cruise has a very important date on Tuesday: With Suri in the Big Apple.

A source confirms to Us Weekly that the Rock of Ages star, 50, flew overnight from California (where he's been shooting Oblivion) to New York City to reunite with Suri, his 6-year-old daughter with Katie Holmes. UPDATE: Cruise was photographed carrying his little girl in Manhattan late Tuesday morning.

The happy father-daughter day is believed to be the first time Cruise has seen his little girl since he and Holmes, 33, finalized their divorce and custody settlement last Monday.

Indeed, the last time Cruise, Holmes and their daughter were spotted in public together was June 16, when the trio grabbed dinner at Sushi Samba in Reykjavik, Iceland, where Cruise had been shooting on location.

"They were like all the young families that come in here," an observer told Us at the time. "It's almost impossible to think they're getting divorced because they seemed very happy that night."

(Just a few days earlier, Suri was her dad's adorable date when he was honored in NYC by the Friars Club June 12.)

What exactly are the terms of Cruise and Holmes' agreement when it comes to their daughter, anyway?

"Katie wants to make sure the visits are in the context of him being a parent figure," a source recently told Us.

"He adores Suri, but now he's afraid he won't be able to have a close relationship with her."

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