It is shown that Galilean parametrical transformation exists. This transformation preserves the unchanged form of Maxwell's equations in the inertial frames. Parametrical transformation is an alternative to the Lorentz transformation. Both transformations yield the same predictions at small relative velocities of inertial frames. The mathematical formalism of Galilean parametrical transformations simpler and clearer than the formalism of the Lorentz transformation. All phenomenon have a clear physical interpretation. A new interpretation of the Lorentz transformation is proposed. The new interpretation is free from paradoxes.