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Wireless Mobile ad hoc network (MANET) has become an exciting and important technology in recent years because of a rapid proliferation of wireless devices. MANET is a self-organizing network of wireless links connecting mobile nodes. MANET's technology offers both new challenges and opportunities for many applications. One of the major challenges for ad hoc technology is routing security, due essentially to MANET features (e.g., open medium, lack of centralized management, nodes mobility). In this paper, we propose ASRP, an efficient secure routing protocol to ensure the routing security in ad hoc networks. ASRP provides powerful security extensions to the reactive AODV protocol, based on modified secure remote password protocol and Diffie-Hellman (DH) algorithms. The simulation results show the efficiency of the proposed ASRP protocol, and its cost towards both the users and the network.