Listen to Aaj Nahin Kal Baba online. Aaj Nahin Kal Baba is a Hindi language song and is sung by Shamshad Begum. Aaj Nahin Kal Baba, from the album Chalis Baba Ek Chor, was released in the year 1954. The duration of the song is 2:59. Download Hindi songs online from JioSaavn.