Compressive Sensing (CS) can reduce the number of data transmissions and balance the traffic load throughout networks. The sensors nodes are organized into clusters. In this paper we propose a clustering method where in the transmission range of the cluster head (CH) is the area of a cluster. Thus to avoid coverage hole problem. Within a cluster, node transmits data to the CH in a round robin fashion. CH use CS to transmit data to the sink. Thus reducing the energy consumption of a sensor node.