April 14, 2015 02:00 PM

Jeff Vespa/Getty

Kimora Lee Simmons is feeling fabulous.

The model and entrepreneur her husband, financier Tim Leissner, have welcomed their first child together, son Wolfe Lee Leissner, a rep for Simmons confirms exclusively to PEOPLE.

“We are filled with joy, adoration and gratitude as we celebrate the birth of our son,” the couple tell PEOPLE in a statement.

Simmons, 39, is resting and doing well after the delivery, and Leissner, 45, is “ecstatic,” according to the rep.

Simmons is already mom to daughters Ming, 15, and Aoki, 12, with Russell Simmons, as well as 5½-year-old son Kenzo with Djimon Hounsou, while Leissner is dad to two daughters, ages 9 and 12, from a previous relationship.

Wolfe’s new siblings are “happy, excited and helping out,” the rep tells PEOPLE.

#GoldmanSachs #PartnerBall 2015. Special thanks to #EdithCooper. #cousin #BabySTILLonBoard😍💕👫💃

A photo posted by Kimora Lee Simmons (@officialkimora) on Mar 26, 2015 at 6:41pm PDT

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— Patrick Gomez

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