T. Tzaneteas, I. M. Sigal Abrikosov Lattice Solutions of the Ginzburg-Landau Equations (113K, LaTeX) ABSTRACT. Building on the earlier work of Odeh, Barany, Golubitsky, Turksi and Lasher we give a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity.