Abstract A wireless sensor network (WSN) is a collection of sensor nodes that has an ability to support Sensing, Signal processing, Embedded Computing, Communications and Connectivity for data processing and transmit the information to far located sink nodes through intermediate nodes with the help of energy source namely batteries. However, the lifetime of the network can be analyzed with the available node energy while transmitting a data from source to destination. But the batteries used in WSN neither to be recharged nor be replaced. So it is necessary to improve the lifetime of the network for better performance. For the past few decades, researchers developed many new Hierarchical routing protocols to improve the network lifetime by minimizing the node energy consumption, which includes Genetic Algorithm based Low Energy Adaptive Clustering Hierarchical Routing Protocol (LEACH-GA). In this paper, we analyzed a network lifetime of LEACH, LEACH-C and LEACH GA by varying its Initial Energy and Cluster Probability.