THE AIM OF THIS PAPER IS TO STUDY THE REAL LIE SUPER GROUPS WHICH ADMIT COMPATIBLE HYPER complex AND product STRUCTURES, BY MEANS OF ASSOCIATED LIE SUPER ALGEBRA. IF G = G0 Ä G1 IS A LIE SUPER ALGEBRA WITH SUCH A product STRUCTURE THEN ITS complexIFICATION DOSE ADMIT A HYPER complex STRUCTURE.