The Lorentz transformation of a particle that travels faster than light is the trajectory of the particle. When a particle travels faster than light, ordinary Lorentz transformation is not applicable to it, so a different Lorentz transformation is required. Some scientists have published Lorentz transformations for fast-moving particles from light, but to me, the Lorentz transformation given by A Rachman, R Dutheil did not seem appropriate enough. This is because the trajectory of tachyon particles is not clear from their equations. In this article, Lorentz transformation has been proven without violating the theory of relativity, which is the trajectory for faster particles than light. This article shows the Lorentz transformation equation for particles moving at a faster velocity than light (v> c ) under a v <c or static observer without violating the theory of relativity.