Low earth orbit(LEO)satellite constellation networks have a predominance of global coverage with low propagation delays.A new spot beam judgement algorithm is presented in LEO satellite constellation.At first,judgement of central spot beam is considered.Then the judgement of outlying spot beam is achieved by two algorithms.One is 2-D space judgement algorithm and the other is 3-D space judgement algorithm.Based on these algorithms,an Iridium model implemented on OPNET with dynamic topology nodes and network layer protocols is presented and simulation results are obtained.The simulation results show that the satellite serving time has obviously increased through the method of longest visible time criterion and the equal beam width model is validated.