Group paging is one of the mechanisms proposed to resolve the radio access network (RAN) overload problem resulted from simultaneous channel access from huge machine devices . This paper presents a consecutive group paging to enhance the performance of group paging. In consecutive group paging, the base station reserves multiple paging cycles to page the same group of users consecutively such that UEs which failed in the earlier paging cycles can perform random-access procedure again in the later paging cycles. We utilize the analytical model presented in  to derive the performance metrics of consecutive group paging. The optimal group size, total number of reserved radio resource and the maximum number of preamble transmission are derived for each value of paging cycle threshold. The accuracy of the proposed analytical model is verified via computer simulations. Simulation results demonstrate that the proposed consecutive group paging enhances the performance of group paging.