The invention provides a satellite network routing oscillation inhibition method and system. The system comprises the following steps: S1, computing link survival time of an adjacent inter-rail link,wherein the link survival time is the time interval of the adjacent inter-rail link to the link interrupting moment from the current moment, and positioning a care-of link in routing oscillation basedon the link survival time; S2, eliminating the link delay change of the care-of link through a link cost function to eliminate the influence on the routing selection by the link delay change, therebyrealizing the routing oscillation inhibition. The link survival time can be computed through the predictability of the satellite movement, and the care-of link in the routing oscillation is positioned; and the link cost function only acted on the care-of link is proposed and used as the basis of the routing computation; the link cost function can decouple the linkage change relation of the link delay and the link connectivity on the basis of maintaining relatively changed spatial network topology, thereby eliminating the factors causing the routing oscillation.