In this paper are presented the effects of Lorentz violation in superconductivity. Constructing a Lorentz-Violating Ginzburg-Landau theory of superconductivity we discuss the influence of the Lorentz-Violating tensor $hat{k}_a^i$ in the Londons depth penetration, in the coherence length and in the critical magnetic field. We also study the behavior of the magnetic field inside the superconductor for two different geometries, cylindrical and rectangular.