The fullerenes and their complexes with a partial or complete charge transfer are widely investigated by magnetic resonance techniques in the last decade. NMR spectroscopy allows to study the reorientational motion of a part of C₆₀ molecules at temperatures higher then 100 K only. The paramagnetism of some of fullerene systems takes a possibility to investigate these compounds by EPR method. However, the data obtained at usual 3-cm waveband EPR does not permit to determine a correct information on the nature and dynamics of paramagnetic centers in the system under study. The sensitivity and efficiency of EPR method increases considerably at 2-mm waveband due to a higher spectral resolution and to the appearance of new effects. The present report is devoted to the applicability of a new 2-mm waveband EPR spectroscopy for investigation of various properties of fullerenes. It was shown that the complex of C₆₀ with triphenylamine contains photoinduced spins in the ground and excited triplet states with different relaxation and dynamics behaviors. These parameters and spin susceptibility are changed dramatically at phase transition at 260 K. The rate and activation energy (0.024 eV) of spin rotation in the complex was determined at 90-330 K as well. The utility of the new EPR technique in the investigation of fullerenes is discussed.