Electron paramagnetic resonance spectra of KTm(MoO 4 ) 2 were measured as a function of magnetic field between 3 and 11.5 cm −1 at T = 2 K. We found that in addition to the absorption line caused by the electronic excitation of Tm 3+ ions, the spectra contain sidebands. Far-infrared transmission measured with polarized light from 10 to 75 cm −1 revealed vibration modes at 16.7 and 25.7 cm −1 for polarizations E ω a and E ω c, respectively. We show that sidebands in the spectra of paramagnetic resonance result from a parametric resonance between the electronic excitations of the Tm 3+ ions and the acoustic vibrations of the crystal lattice.