On the modified Drucker's postulate and the theory of internal variables in the constitutive relations, the general theoretical frame of thermoplastic constitutive relation for the anisotropic and damaged materials is established. The universal form of the thermoplastic incremental constitutive relations and the computational routine are presented, which can cover various kinds of plastic hardening (softening) behaviors, thermo-softening behaviors, damage-softening behaviors and their coupling effects between each other, and is very fit for applications to the dynamic problems in high velocity impact and wave propagation.