According to the myth, he is the son of goddess Tinjis from her second marriage to Heracles, and the grandson of the god Zeus and mortal queen Alcmene. According to the myth, Sufax replaced Antaeus as a guard of the country of the Berbers (or Imazighen). He is said to be the founder of Tangier in memory to his mother.
According to the Berber mythology, many of the Berber kings are descendents of Suphax who defended their lands. He had a son, Diodorus, who reigned over many North African Berber tribes with the help of the Olympians.