In two-dimensional SU(2) gluodynamics with the Chern-Simons mass a ground state in a magnetic field is derived. This vacuum is found to be the lattice of the new type formed from periodic magnetic and electric fields which corresponds to Abrikosov's lattice in superconductivity. It is realized uniquely due to the mass presence. In contrast with superconductivity the solution is determined in the class of stationary (not static) functions of charged gluon components and is realized in the case of small mass. The normalization condition, distribution of charge and currents, magnetic and electric fields, magnetic induction, and energy density are calculated. It is shown that this structure is energetically favorable. It can be realized spontaneously.