We find the geodesics in spacetime of charged black hole in context of rainbow gravity and then we compare them with ones in classical general relativity. It is known that the particles in spacetime of black hole move on geodesics which we can find by writing the equations of motion. Present studies aim to discover approaches to classical general relativity for solving the singularities problem, the points where law of physics destroy at and then the mathematical equations become incorrect because they are points whose curvature is infinity. We find in our work that the rainbow gravity, its own, does not change the geodesic structure of charged black hole and so neither ingoing nor outgoing particle trajectory will change.