Meredith Daniel Mohr was born on Thursday, weighing in at 6 pounds, 7 ounces.
"We are over the moon, filled with joy and every other cliché new parents use," the couple told the magazine. "He's perfect."
Mohr, 40, and Cox, 32, married in 2006 after meeting on the set of Las Vegas two years prior. Mohr has a son, Jackson, from his previous marriage to Nicole Chamberlain.