The microscopic superconductivity theory in 2 systems in the magnetic fields directed parallel and perpendicular to the plane (ab) is built. The two energy bands of different dimensions overlapping on the Fermi surface (two-dimensional σ - band and three- dimensional π -band) are taken into account. The theory is built taking into account the weak dispersion of the electron energy of σ -band in z direction. The systems of equations for the superconductive transition temperature c T and the upper critical field ()0 2 ab c H are obtained. The analytic solutions of the equations for ()0 2 ab c H are found in the two temperature areas: nearby the zero temperature 0 c TT << and in the vicinity of the superconductive transition temperature 00 cc TT T −<< . The temperature dependencies of the upper critical felds 2 || c H ab and 2 || c H c on the temperature are built, and the anisotropy coefficient 00 22 ||()/ || Hc c H ab H c γ = is determined. It is shown that the value of 2 || c H ab exceeds greatly the value of 0 2 || c H c due to the system anisotropy (to small values of the average velocity of electrons in the crystallographic axis direction).