A method for controlling a connection between a user equipment and a network, comprising: receiving, by a mobility management entity, a network connection request sent by the user equipment; determining, by the mobility management entity, a priority of the network connection request and a network overload state; and controlling, by the mobility management entity, the connection between the user equipment and the network according to the priority of the network connection request and the network overload state, characterized in that the determining, by the mobility management entity, a priority of the network connection request comprises: when the mobility management entity determines that the network connection request does not carry priority information, determining that the default priority of the network connection request is a non-low priority; and when the network is overloaded, establish a network connection having a non-low priority between the user equipment and the network; wherein priority information is information which indicates that the priority of the network connection request is a low priority or a non-low priority; predefining, by the mobility management entity, a limit value for the number of user equipments belonging to a preset user equipment group and establishing connections having a non-low priority to the network; and when the mobility management entity determines that the number of user equipments belonging to said preset user equipment group and establishing network connections having a non-low priority to the network exceeds the limit value, rejecting by the mobility management entity the connection request having a non-low priority sent by the user equipment. receiving, by a mobility management entity, a network connection request sent by the user equipment; determining, by the mobility management entity, a priority of the network connection request and a network overload state; and controlling, by the mobility management entity, the connection between the user equipment and the network according to the priority of the network connection request and the network overload state, characterized in that the determining, by the mobility management entity, a priority of the network connection request comprises: when the mobility management entity determines that the network connection request does not carry priority information, determining that the default priority of the network connection request is a non-low priority; and when the network is overloaded, establish a network connection having a non-low priority between the user equipment and the network; when the mobility management entity determines that the network connection request does not carry priority information, determining that the default priority of the network connection request is a non-low priority; and when the network is overloaded, establish a network connection having a non-low priority between the user equipment and the network; wherein priority information is information which indicates that the priority of the network connection request is a low priority or a non-low priority; predefining, by the mobility management entity, a limit value for the number of user equipments belonging to a preset user equipment group and establishing connections having a non-low priority to the network; and when the mobility management entity determines that the number of user equipments belonging to said preset user equipment group and establishing network connections having a non-low priority to the network exceeds the limit value, rejecting by the mobility management entity the connection request having a non-low priority sent by the user equipment.