Penelope Cruz and Javier Bardem debut baby Leo

New parents Javier Bardem and Penelope Cruz surely knew they were stepping into the paparazzi cross-hairs when they took two-and-a-half-month-old son Leo for a leisurely stroll in Malibu, Calif.'s, Will Rogers Park.

Equipped with the de rigeur Baby Bjorn, the couple took sleepy Leo for a turn around the park.

Leo was born on January 22 at Cedars-Sinai to the stunning couple, who married in July 2010 in the Bahamas. They had been dating since 2007.

See more pictures at UsMagazine.com.