The ATM technology can be used to implement the future B-ISDN as well as broadband LANs. The advanced characteristics of such networks, e.g. very high speed and integrated services support, are putting challenging requirements on the related management systems. This paper presents solutions currently adopted or under study within the relevant standardization bodies distinguishing between management systems for public and private ATM networks. Furthermore some major issues regarding ATM management systems coming up on the market are analyzed.