Due to the advantages of high connection strength, little damage to composite materials, single-sided connection and smooth fracture without grinding, blind bolted rivets are widely used for fastening composite structures in the aerospace field. At present, blind bolted rivets are mainly imported from foreign countries, lacking of stable manufacturing methods domestically. This paper focused on the strength calculation method for a certain type of blind bolted rivets, firstly introduced its installation process and analyzed mechanical property. Then based on the Fourth failure criteria (Von mises yield criterion), expressions for the maximum stress at key positions of the screw (fracture groove and first thread) were established. By establishing a finite element model of the screw with two different UNJF threads, the stress concentration coefficients in expressions were calculated. Finally, the influence of various factors on the maximum stress at critical positions was analyzed. This research would be meaningful and valuable in improving the connection reliability and economic efficiency through this established strength calculation method.