Preliminary results on a systematic analysis of the data from the Gamma-Ray Burst Monitor on-board BeppoSAX are presented. The purpose of this analysis is the identification of true celestial gamma-ray bursts. The study considers events that are recognized or not by the on-board trigger system logic. As the on-board logic triggers also spurious events which mimic GRBs (e.g., events due to high energy particles, atmospheric events, etc), it becomes necessary to impose additional constraints in order to recognize true GRBs. These further conditions will be the subject of this contribution. ©2000 American Institute of Physics.