To provide a program simulation system and a numerical control system that do not require a simulation on a machine operator's side and can mitigate or reduce a burden on the machine operator's side. A program simulation system for industrial machines that performs a simulation according to a program includes a machine selection unit that selects at least one industrial machine to be simulated; an identification data group creation unit that has a function to automatically add an identification code for specifying the industrial machine to the program after simulating a program for the industrial machine selected by the machine selection unit and create a data group of the program and the identification code; and a determination unit that determines whether the identification code in the data group sent to an industrial machine side matches an identification code of the industrial machine itself.