We observed that low-frequency transcranial magnetostimulation (TCMS, 2 sec-1 for a 10-sec-long period at a relatively low magnetic induction, 0.1 T, within the impulse peak) prevented the development of generalized clonico-tonic attacks and reduced the duration of the epileptiform activity evoked by testing kindling electrostimulation (ES) of the amygdala in rats (to 32.3 ± 4.7 sec, on average, as compared with 58.7 ± 6.0 sec in the control; P < 0.05). Measurements of total EEG oscillation power characterizing epileptiform episodes showed that within an initial period (first 16 sec) of the epileptiform activity this parameter somewhat decreased in all the examined brain structures (by 10%, as compared with that at sham TCMS). Within a final 16-sec-long segment of the epileptiform activity, when the latter decayed, such differences were preserved in the hippocampus and occipital and frontal cortices. Analysis of modifications of EEG spectral components in various brain structures showed that the powers of θ-, β-, and γ-rhythms dropped most noticeably, while the δ-rhythm power increased. Thus, the mechanisms of TCMS-induced anti-epileptic effects can be related to activation of the mechanisms responsible for δ-rhythmogenesis.