Keeping in mind the global warming issue in the Bay of Bengal region, we have investigated the factors maximum sustained intensity, surge height, the annual frequency, Accumulated Cyclone Energy (ACE) and Power Dissipation Index (PDI) of a cyclone from the MRI-AGCM and d4PDF cyclone track data. A doubly nested tide-surge interaction model is developed to investigate the impact of islands on the destructive power and energy dissipation of a storm along the coast of Bangladesh. A vertically integrated shallow water model equations are solved by conditionally stable semi-implicit finite difference manner on an Arakawa C staggered grid system. The developed model is then applied to simulate the water level, PDI and cyclone energy (CE) associated with the catastrophic deadly cyclone 1991 and a recent cyclone MORA. The activity represents the increasing trend of destructive power and accumulated cyclone energy. The model result shows that there was no significant effect of the island on PDI and CE, but has a significant effect on the water level elevation.