Failure diagnosability has been widely studied using discrete event sys-tem (DES) models. It is, however, shown in this work by means of a counterex-ample that the diagnosability condition, which has been shown to be necessary and sufficient in the DES context, fails to hold for many real-world hybrid systems. This is because the abstraction employed in formulating the DES models obliterates the continuous dynamics. In the present work, a new failure diagnosability mechanism has been developed for discrete time hybrid system (DTHS) models to alleviate this problem. A new diagnosability condition is proposed and its necessity and sufficiency with respect to the diagnosability definition are established formally. Finally, the method of A-diag...