According to the military requirement of reconnaissance satellite transit forecast, a modeling and analysis method of reconnaissance satellite coverage area was proposed. On the basis of SGP4/SDP4 orbit prediction model, the field of view and attitude parameters of sensors are considered. The method of calculating the coverage area of reconnaissance satellite is given when the observation vector intersects, tangents and does not intersect with the earth. Based on the STK software, the coverage area of single satellite and reconnaissance satellite constellation is simulated. The test results show that the method is effective and feasible, and it can provide information support for avoiding enemy satellite reconnaissance.