A New Attitude stability criteria for Dual spin Satellite is developed in this paper. The argument of this Criteria is based on a concept of Semirigid which has no moving parts but dissipates energy and also by means of Lyapunov method about system stability. Then this conclnsion is compared with conclnsions from a discrebe parameter approach and an energy sink approach developed by Iorillo，Landon and Likins^[l]-[4].