  The process of electron-positron pair production by two photons in a strong
magnetic field has been studied. The process kinematics is considered, and the
probability amplitude for arbitrary polarizations of particles is found. The
resonance conditions are established, and the resonant cross-section is
estimated in the case where the electron and the positron occupy the lowest
levels ($l_{e} = 1$, $l_{p} = 0$) that satisfy these resonance conditions.
