Bruce Willis on His New Daughter Mabel Ray

Reporting by ETOnline.com

It's been almost two weeks to the day since Bruce Willis welcomed his new daughter, Mabel Ray, to the world and the four-time-father is still shining with that proud-papa glow.

Willis calls the bouncing baby girl a reawakening of sorts, telling ET that fatherhood has given him a new zest for life.

Related: Bruce Willis Welcomes Baby Girl

"You just forget how much fun it is and how cool it is," Willis says. "There are a lot of things that I'm reminded of that regular life knocks out of you."

The new dad arrived to our interview for the hotly-anticipated action flick, "GI Joe: Retaliation," out June 29, admittedly sleep deprived, but Willis says he wouldn't have it any other way.

"I didn't get to bed till 9am…[Lately] I'm just up wandering around with her…It just calms you down. It calms me down, anyway."

Related: Bruce Willis & Wife Expecting Baby

Mabel Ray was born April 1st and is Bruce's first child with wife Emma Heming. The 57-year-old actor has three daughters (Rumer, 23; Scout, 20; and Tallulah, 17) from a previous marriage to Demi Moore.