Current handoff rerouting techniques in Mobile ATM networks fail to optimize some or all of the following parameters: handoff latency, route length, computational complexity, communication disruption period, network buffer requirements,a nd bandwidth requirements. This paper focuses on the optimization of the above parameters in the context of efficient handoff in Mobile ATM networks. We propose a framework for efficient handoff, in which the route information of a call in progress can be released to the communicating mobile hosts and their corresponding switches. The switch covering the mobile host requesting handoff selects an appropriate rerouting process based on the route information and the location of the mobile hosts. A comparitive evaluation of our scheme with the existing schemes is presented.