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Progress in wireless communication has made possible the development of low cost wireless sensor networks. In recent years, as the development of wireless sensor networks, people have done some research on cluster-based protocol, about the proongation of the lifetime of WSN and decrease of energy consumed by the sensors. Clustering sensor nodes is an effective topology control approach, but these algorithms are not optimized for the characteristics of heterogeneous wireless sensor networks. This paper introduces the new energy adaptive protocol to reduce overall power consumption, maximize the network lifetime in a heterogeneous wireless sensor network. In our protocol, NEAP (the Novel Energy Adaptive Protocol for heterogeneous wireless sensor networks) the cluster-head is elected by a probability, based on threshold per round and cluster formation based on nodes current battery power and numbers of members currently under a cluster-head are taken, distance between cluster-heads and nods. At last, the simulation results show that NEAP achieves longer lifespan and reduce energy consumption in wireless sensor networks.