The important photophysical process that determines the efficiency of photosensitizers is saturation of a triplet state by intersystem crossing during light absorption. In the present work, C60 fullerene complexes with amino acids glycine, lysine, methionine and threonine were studied as promising photosensitizers. All these complexes, for which the calculations were done, demonstrate high values of rate constants of transition to triplet states and a high probability of the ability to generate reactive oxygen species through excitation in the visible spectrum. The carboxyl groups of amino acids that are not involved in electronic excitation can be used as the component of specific DNA aptamers for conjugation to photoactive complexes for a tumor-targeting drug delivery system.