The generalized conservation law is given by Noether's theorem, the conservation law of momentum is given based on the symmetry of space translation, the conservation law of energy is given based on the symmetry of time translation, and the conservation law of angular momentum is given based on the isotropy of space.However, we all know that in the Lorentz transformation, the space-time between two frames of reference of relative uniform motion is not equivalent conversion, which means that the conservation law maybe not meet the precondition of symmetry of translation.In this paper, by establishing the Lorentz transformation equations of work and impulse between reference frames,I deduce some physical quantities cannot keep their symmetry in Lorentz transformation, and discuss the conditions for the law of conservation of dynamics is covariant. By applying the equations of the Lorentz transformation, a new Lorentz covariate is obtained.