Greyson James Carroll McCuddy weighed in at 8 pounds, 10 ounces when he was born Thursday in Los Angeles, People.com reported.
Songwriter DioGuardi married contractor Mike McCuddy in 2009.
People.com said DioGuardi, 42, has a history of miscarriages and failed fertility attempts.
"She's given us an incredible gift," DioGuardi recently told the celebrity magazine of the surrogate.
2014: The Year in Music [PHOTOS]