Wajid's son was born Monday at 7.23 p.m.
"Allah has been very kind to me. First, he showered us brothers with recognition and offers from all the big banners of the industry, and finally a baby boy. I couldn't have asked for more, " Wajid said in a statement Tuesday.
"I am glad that both my wife and son are safe and normal, " he added.
His brother, Sajid, the elder of the two brothers, too was there with his wife along with their parents.
Sajid-Wajid started their career in Bollywood with "Pyar Kiya Toh Darna Kya" and have composed songs for films like "Tere Naam", Mujhse Shaadi Karogi" and "Dabangg" and are currently working on projects like "Kick", "Chashme Baddoor", "Khote Sikkey", "Houseful 2", "No Entry 2" and "Dabanng 2".