Salzer, who has been on the board since 1995, will step down at the end of February.
Hugo Boss said it would begin the search for a replacement immediately and that Salzer's responsibilities would be redistributed between other members of the board in the interim period.
Salzer said: "More than 12 exciting and successful years in the unique culture of Hugo Boss will come to an end. I will never forget the enthusiasm and passion of the employees when doing their job for our company and I will always remember it with joy. With this special Hugo Boss spirit the company will certainly look into a continued bright future."
Giuseppe Vita, who is chairman of the supervisory board, said: "Bruno Salzer has shaped the development of Hugo Boss considerably during recent years. He has led the brand into an international future and positioned the company for future competition in the market. Major strategic decisions like the introduction of a womenswear line, the broadening of the brand portfolio and the product base fall into his term of office. We separate by way of amicable arrangement and in a friendly manner."