The baby boy, weighed 6-pound, 5-ounce was born at just before 3 a.m. Sunday at Saint Barnabas Medical Center in Livingston, N.J., MTV said.
MTV congratulated Polizzi and her fiance and looked toward the newborn's possible appearance on Jersey Shore.
"We couldn't be happier for Nicole and Jionni on the healthy delivery of their baby boy!," MTV said in a statement. "We look forward to Lorenzo's first trip to the Jersey Shore and can't wait to see his first animal print onesie."
MTV has said it's bringing Jersey Shore back for a sixth season, with the 24-year-old Snooki as part of the action, but has declined to offer specifics on how big a part Snooki will play in the show about hard-partying Italian-American friends.
Her 'Jersey Shore' co-star Jenni 'JWoww' Farley took to twitter to congratulate the pint-sized star and fiancée Jionni LaValle following the birth or Lorenzo yesterday (26.08.12), and added she was 'proud' of her.
Fellow reality star Kendra Wilkinson also congratulated Snooki. She wrote: 'Yay congrats Snooki. So happy for you. Can't wait to see pics of Lorenzo! (sic)'