The results of the experimental study of rheological properties of the binder cold based on epoxy resin L and hardener EPH 161 modified by fullerenes C60 depending on the concentration of fullerenes are presented. The measurements were performed on the rotating rheometer Physica MCR 501 (Anton Paar, Austria) in the oscillation mode. The kinetics of complex viscosity changes is studied. It is shown that the viscosity change curves cannot be approximated by one functional dependence: the polymerization reaction takes place in at least two stages. One of them can be described by exponential dependence, the final one – by hyperbole. Parameters of approximating curves are calculated. The time of reaching the gel-point of mixtures depending on the concentration of fullerenes was determined. It is shown that the introduction of a binder modifier changes the curing time of the composition. The maximum effect (30%) is achieved at a concentration of 0.16 mass.%.