For investigation of the nonradiative transitions in excimers we used the adiabatic approximation. The adiabatic potential of the excited electron-vibrational state has the minimum on the normal coordinate, and the adiabatic potential of the ground electron-vibrational state of excimer molecule is presented as the repulsive potential. The electron-vibrational system in model of two electron terms it is convenient to describe applying the Fermi's operators, according to specific expressions. In an intense laser radiation field the probability of the nonradiative transitions with account to first photon quasilevel, is described