Gnaeus was the son of unknown parents. The date and place of his birth have not been found.
He had two marriages/partners. His first wife is not known. They were married, but the date and place have not been found. Their only known child was Sextus Pompeius (?-?).
His second wife is not known. They were married, but the date and place have not been found. Their two known children were Lucilia (<0148BC-?) and Gaius Lucilius (c0160BC-0103/02BC).