In Russia, the main oilseed crop is sunflower. Its crops occupy more than 95 % of the area under oilseeds, and annually account for 7.07 % of the area under grain crops. An urgent problem is the loss of oilseeds because of headers and harvesting attachments, which, according to agro technical requirements, should not exceed 2.5 % of the actual yield. The article describes the technological process of the sunflower harvester equipped with an auger-reel. The design of the auger- reel with stripper knives and winding is justified. A mathematical analysis of the capturing process a sunflower head by an auger- reel is proposed. Mathematical expressions are given for the forces acting on the stem during the auger- reel capture, equations for determining the reactions’ moments of the forces acting on the sunflower stem.