  The aim of the current work is the numerical research of the anisotropic
characteristics of the two-dimensional hydrogen atom induced by a magnetic
field. The ground state energy (GSE) of the two-dimensional hydrogen atom and
the corresponding wave function have been numerically calculated in the
Born-Oppenheimer approximation and with taking into account the finite mass of
the proton. The non-linear dependence of GSE on the angle {\alpha} between the
magnetic field vector and the normal to the plane of electron motion in a wide
range of magnetic field strength has been found. The effect of a significant
reduction of GSE (up to 1.9-fold) is observed with increasing the angle
{\alpha} up to 90 degrees.
