according to fractal-like theory in the heterogeneous system, a cellulase-catalyzed kinetic equation that contained two parameters (rate constant k and fractal dimension h) was deduced. the equation described directly the mathematical relationship between reducing sugar concentration and hydrolytic time, and accurately fitted the experimental data of free/immobilized cellulase at 37, 40, 44, 47, and 50 a degrees c (r (2) > 0.99). the fitted h value is estimated as a constant (0.6148) in these tested temperatures. the fitted k value increased with temperature increase, and the relationship agreed with arrhenius equation (r (2) > 0.98). the fractal-like equation could predict accurately the experimental data at low temperature 34 a degrees c for free/immobilized cellulase and high temperature 53 a degrees c for immobilized cellulase, but the prediction at 53 a degrees c for free cellulase was not accurate enough due to its lower stability than immobilized cellulase. the application of fractal-like theory in cellulase kinetics is successful.