The invention pertains to methods of producing flour from cereal produce in which the component parts of the grain have substantially differing physical and mechanical strength characteristics. The method can be used in grinding graded or waste flour from wheat, rye, barley, oats, corn and other cereal produce. The technical results of the proposed method is a reduction in the quantity of metal and energy needed for an industrial production line for the production of graded flour from cereal produce. This is achieved by a four to five-fold reduction in the quantity of equipment needed for grinding and grading. According to the proposed method, flour is obtained from the cereal produce by breaking up the component parts of the grain preferably with compression loads and by contact between the produce and a plurality of rotating grinder elements as the produce passes through the grinding zone. The grains undergo low-level deformation in stages and the destructive contact load of the grinder elements on the produce is gradually reduced along the direction of travel of the produce from the inlet to the outlet. Use of preferably compression loads which are limited in terms of the deformation of the ground produce and maintenance of the ratio between the destructive contact load of the grinder elements and the dimensions of the ground produce and degree of disintegration of the produce ensures a high degres of selectivity in the disintegration of the component parts of the grain. This results in a three to four-fold increase in the yield of graded flour over the yield obtained from a roller mill for one pass of the cereal produce.