We propose a novel method to enhance the transverse magneto-optical Kerr effect (TMOKE) in the magneto-plasmonic (MP) nanostructures by means of the active dielectric layer. We report the theoretical analysis of the MP structure with a ferromagnetic dielectric doped with rear-earth ions (Nd3+) as the example of a gain layer. The enhancement takes place near the surface plasmon polariton (SPP) resonances of the nanostructures. The stimulated emission of the dopants in the field of the SPP wave partially compensates its losses. It is shown that due to a decrease of SPP damping, a Q-factor of the MP resonance increases and the TMOKE is increased in comparison with the passive nanostructure.