  The spontaneous generation of the chromomagnetic field at high temperature is
investigated in a lattice formulation of the SU(2)-gluodynamics. The procedure
of studying this phenomenon is developed. The Monte Carlo simulations of the
free energy on the lattices 2 \times 8^3, 2\times 16^3 and 4 \times 8^3 at
various temperatures are carried out. The creation of the field is indicated by
means of the \chi^2-analysis of the data set accumulating 5-10 millions MC
configurations. A comparison with the results of other approaches is done.
