ABSTRACT:The theory of interaction of intense laser fields with multilevel atoms in external constant magnetic fields is applied to analysis of the dependences of the populations on time, on detuning of laser frequency, on magnetic field orientation, and strength for spontaneous decay on the levels of thermostat. Solving the Schrö dinger equation for the "atom in magnetic field ϩ radiation field" system in resonant approximation we have obtained the probability of the population of common level for a generalized ⌳ system (e.g., 6P 1/2 -7S 1/2 -6P 3/2 levels of Tl atoms). The results of computer simulations permit the investigation of the peculiarities of coherent population trapping in such system.