We have been deduced the generalized Noether's identies(GNI) in phase space. Combining these dentities with the constraint conditions of constrained dynamics system one can give rise to more coi strained relationship among some variables. Preliminary application of GNI to classical mechanics am nonrelativistic charge particles in an electromagnetic field

on the constrained hypersurface one car obtain some conservation laws which have been avoided the Dirac's conjecture

or can tell us wha stage will be terminate of Dirac-Bergmann's algorithm.