The Asynchronous Transfer Mode Ring protocol (ATMR), which is proposed to regulate multiple terminals within the Customer Premises Network (CPN) accessing the B-ISDN through a single User-Network-Interface (UNI), is described and its performance is analyzed. The mean packet access delay and the fair sharing of the non-guaranteed bandwidth at various levels of network load are evaluated by a discrete event simulation. Window Size and Reset Period are the key parameters of the ATMR cycle-reset type access protocol. The simulation results show, that depending on the choice of the Window Size the mean packet access delay can be optimized. The fairness among the stations in terms of mean packet access delay can be guaranteed under the examined load conditions. The results also demonstrate that the mean packet access delay increases according to the network size.