The Belle II experiment at KEK in Japan started beam collision from early of 2018 to probe a New Physics beyond the Standard Model by measuring CP violation phenomena and rare decays of beauty, charm quark and tau lepton. The experiment is performed at the SuperKEKB e+e- collider with $80\times10^{34} {\rm cm^{-2} s^{-1}}$ as an ultimate instantaneous luminosity. As a severe beam background environment is highly anticipated, a detail simulation study of the Belle II calorimeter trigger system is very crucial to operate Belle II Trigger/DAQ system stably. We report simulation results on various trigger logic and efficiencies using physics and beam background events upon the Belle II Geant4-based analysis framework called Basf2.