Mobile grid computing is a new computing paradigm which joins classic grid computing and mobile computing paradigm to provide dependable, seamless, pervasive access to mobile resources and services. It can use the underlying connectivity and routing protocols defined by MANET in order to perform resource discovery and access. This paper proposes a mobility-aware zoned routing protocol for MANET-MAFZP, which create zones in terms of the distance between each node to the Minimum ID node. Resort to the information provided by neighborhood nodes, our proposed protocol?s request delay and control overhead is descend to O(2R). In addition, this protocol classifies the mobility pattern with neighbor node and reduces routing control overhead. Simulation results show that the protocol greatly decreased routing time and control overhead.