The invention relates to a preparation method of chitosan oligosaccharide grafted cellulose fiber. The preparation method comprises following steps: A, preparation of sodium methallyl sulfonate-chitosan, wherein chitosan oligosaccharide is added into hot water to prepare a chitosan oligosaccharide aqueous solution, the chitosan oligosaccharide aqueous solution is cooled to room temperature, sodiummethallyl sulfonate is added into the chitosan oligosaccharide aqueous solution, an obtained mixture is subjected to stirring and heating, and potassium persulfate is added so as to obtain the sodiummethallyl sulfonate-chitosan oligosaccharide solution; B, cellulose fiber pretreatment, wherein cellulose fiber and soft water are introduced into a pretreatment tank, heating, stirring, water discharging, dehydration, and drying are carried out so as to obtain pretreated cellulose fiber; and C, preparation of chitosan oligosaccharide grafted cellulose fiber, wherein the cellulose fiber obtainedin step B is introduced into a reaction vessel, the sodium methallyl sulfonate-chitosan oligosaccharide solution obtained in step A is added, water is added, and stirring, heating, and centrifugal dewatering are carried out so as to obtain the chitosan oligosaccharide grafted cellulose fiber.