A topical skin composition containing a dipeptide compound represented by formula (1) or a salt of the dipeptide:
wherein
R1 to R5 and X represent atoms or groups according to the specifications of claim 1; and
n is an integer of 0-4; and a pharmaceutically acceptable carrier therefor.
This composition may be used to suppress growth of the hair or to retard aging of the skin or rejuvenating the skin.