The invention relates to a production method for preparing a dissolving pulp by an oxygen-dissolving and continuous-cooking method, which applies the preparation of cotton linters in the production of viscose fibers in the textile industry, and the method comprises the following steps of: I. cotton linter pretreatments: including cotton linter loosening, cyclone separation and dust removal, feeding, two-roll grinding treatment, etc. to the cotton linters by a two-roll pulping machine; and II. oxygen dissolving and continuous cooking: a horizontal continuous cooking digester is adopted to realize the continuous, fast and low-pollution preparation of dissolving cotton pulp through the actions of high temperature, alkali, oxygen or hydrogen peroxide. The horizontal continuous cooking digester includes a pre-reaction bin, a two-roll gauge, a feeding screw, a T-shaped tube, a continuous-cooking tube and a cold discharge device. The method can effectively solve the problems of: cutting, tearing and cell primary wall breakage to the cotton linters by dry method after feed preparation, physical and chemical stripping to mass impurities in the cotton linters, fast accumulation reduction of the cotton linters in a continuous-cooking device and the purification of alpha cellulose under fast accumulation reduction, recycling of waste heat in the production link, and reduction of total amount of COD in a black liquor, and the method has advantages of even cooking and short cooking cycle.