MIPv6 (Mobile IPv6) has been developed as macro-mobility management protocol to support mobility of MUs (mobile users) over the Internet. Hierarchical Mobile IPv6 (HMIPv6) has been developed as micro-mobility management protocol. There are many other mobility management protocols proposed so far like Fast Mobile IPv6, Proxy Mobile IPv6, Optimal Choice of Mobility management, and Fast Proxy Mobile IPv6. These are based on MIPv6 and HMIPv6 and have their own advantages and limitations. These protocols do not consider the fixed mobility pattern of MUs. Many MUs have fixed mobility pattern on daily basis and there is scope of further reduction in regional registration cost. We propose an AMAP (Adaptive Mobility Anchor Point) to minimize the regional registration cost and packet delivery cost in IPv6 networks. The AMAP is a special mobility anchor point which is selected based on the activity rate (ARate) of MUs.