The invention relates to a method for continuously preparing silkworm chrysalis protein antioxidant peptides by using an enzyme membrane reactor. The method comprises the following steps of: firstly, preparing silkworm chrysalis protein into a suspension by using distilled water; secondly, homogenizing the suspension by using a homogenizer, and then adding the suspension together with incision enzyme into the enzyme membrane reactor for continuously preparing antioxidant peptides; thirdly, penetrating the enzymolysis product solution through an ultrafiltration membrane to ensure that the silkworm chrysalis protein which is not fully reacted and the incision enzyme are captured and then reflow into a reaction tank for continuous reaction; and finally, collecting the enzymolysis product penetrating fluid penetrating through the ultrafiltration membrane, and concentrating and then carrying out spray drying to obtain a powdered silkworm chrysalis protein antioxidant peptide product. The silkworm chrysalis protein antioxidant peptide prepared by the method is good in activity, the IC50 for clearing DPPH (1,1-Diphenyl-2-picrylhydrazyl radical 2,2-Diphenyl-1-(2,4,6-trinitrophenyl)hydrazyl) free radical is 0.9-1.6mg / mL, the IC50 of the capacity of clearing hydroxy radical is 0.2-0.6mg / mL, and the IC50 of the capacity of chelating Fe<2+> is 1.4-2.7mg / mL.