The present invention provides methods for deinking wastepaper by combined use of cutinase and chemical reagents, which relates to the field of enzyme engineering. The method comprises the following steps: pulp preparation, enzymatic hydrolysis, pulp washing and dewatering, and flotation. The enzyme for enzymatic hydrolysis is cutinase at a concentration of 10-20 U/g absolute dry pulp; and 0.5-4% Na2SiO3, 0.1-0.8% MgSO4, 0.1-0.8% EDTA, 0.1-4% H2O2 are used in the chemical treatment. With combined use of enzymatic and chemical treatment, the present invention has solved the problem of the current enzymatic method for deinking that requires large dosage of enzymes and thus high cost. Through proper choice of the kind and the amount of chemical reagents, synergistic effects of the enzymatic and chemical treatment can be achieved, thus increasing the effectiveness of the deinking process. In addition, this method does not require alkaline chemicals, which alleviates the problem of sewage treatment associated with conventional deinking methods.