Abstract: Based on phase-space generating functional of Green function for a singular Lagrangian system with a finite number of degrees of freedom,the quantal canonical Noether identity(NI) under the local transformation is derived,in which there is no ground state sign of the system.It is pointed that the identity hold true no matter whether the Jacobian of the transformation is eaual to unity or not.The strong quantal conservation law deriving from NI is deduced.It is pointed out that in certain cases,the quantal NI may be converted into the quantal(weak) conservation laws by using the quantal equations of motion.This algorithm to derive the quantal(weak) conservation laws differs from the quantal first Noether theorem.