The invention relates to a preparation method of a continuous high-melt-strength polypropylene based on a grafting reaction. The continuous high-melt-strength polypropylene comprises the following components: 100 parts by weight of polypropylene, 0.01-1 part by weight of initiator, 0.1-5 parts by weight of a first grafting monomer and 0.1-5 parts by weight of a second grafting monomer. The first grafting monomer is a vinyl silicone oil compound, and the second grafting monomer is a C5-C10 monoolefin or polyene compound. The preparation method comprises the following steps: weighing the polypropylene, the initiator, the first grafting monomer and the second grafting monomer, adequately mixing the mixture, and then, adding the mixture to a twin-screw extruder, milling, extruding and granulating the mixture at 140-250 DEG C. The invention provides a method for preparing the high-melt-strength polypropylene which has no gelatin, has favorable color and luster and contains a long branch chain through a one-step silane method which has a simple process, flexibility in operation and an industrial implementation foreground, and a high-melt-strength polypropylene material obtained by the preparation method is applicable to the application fields of foaming, thermal forming, film blow molding, extrusion coating and the like.