Cellulose was modified via impregnation of a polymer sample with a solution of C60 nanocarbon particles in o-xylene. The sorption kinetics of Cu(II), Ni(II), and Cd(II) ions from an aqueous environment on cellulose and composite material is studied. There is an increase in extraction efficiency of metals with a fullerene-containing sorbent compared with that of initial polymer. Quantitative characteristics of sorption kinetics are found for metal ions in the framework of models of pseudo-first- and pseudo-second-order reactions. The equilibrium sorption of Cu(II) ions on cellulose and composite is described with different isotherms, which is due to different mechanisms of interaction of metal ions with initial cellulose and composite.