A notification method of a Non Access Stratum, NAS, algorithm, the method comprises: determining, by a Home Subscriber Server, HSS, a list of NAS algorithms comprising a list of NAS encryption algorithms and a list of NAS integrity algorithms; and sending, by the HSS, the list of NAS algorithms to a Mobility Management Entity, MME, so that the MME selects an NAS algorithm from the list of NAS algorithms and notifies a User Equipment, UE, of the selected NAS algorithm; characterized in that, wherein sending, by the HSS, the list of NAS algorithms to the MME comprises: passing, by the HSS, the list of NAS algorithms to the MME in a procedure of obtaining of authentication information or a procedure of inserting of subscription data; and wherein the MME selecting the NAS algorithm from the list of NAS algorithms and notifying the UE of the selected NAS algorithm further comprises: determining, by the MME, a set A1 of NAS encryption algorithms and a set A2 of NAS integrity algorithms supported by the MME; determining, by the MME, a set B1 of NAS encryption algorithms and a set B2 of NAS integrity algorithms supported by the UE; determining, by the MME, the set C1 of NAS encryption algorithms and the set C2 of NAS integrity algorithms in the list of NAS algorithms; determining, by the MME, an intersection D1 of the sets A1, Bland C1 and an intersection D2 of the sets A2, B2 and C2; and notifying, by the MME, the UE of NAS encryption algorithms in the intersection D1 and NAS integrity algorithms in the intersection D2. determining, by a Home Subscriber Server, HSS, a list of NAS algorithms comprising a list of NAS encryption algorithms and a list of NAS integrity algorithms; and sending, by the HSS, the list of NAS algorithms to a Mobility Management Entity, MME, so that the MME selects an NAS algorithm from the list of NAS algorithms and notifies a User Equipment, UE, of the selected NAS algorithm; characterized in that, wherein sending, by the HSS, the list of NAS algorithms to the MME comprises: passing, by the HSS, the list of NAS algorithms to the MME in a procedure of obtaining of authentication information or a procedure of inserting of subscription data; and wherein the MME selecting the NAS algorithm from the list of NAS algorithms and notifying the UE of the selected NAS algorithm further comprises: determining, by the MME, a set A1 of NAS encryption algorithms and a set A2 of NAS integrity algorithms supported by the MME; determining, by the MME, a set B1 of NAS encryption algorithms and a set B2 of NAS integrity algorithms supported by the UE; determining, by the MME, the set C1 of NAS encryption algorithms and the set C2 of NAS integrity algorithms in the list of NAS algorithms; determining, by the MME, an intersection D1 of the sets A1, Bland C1 and an intersection D2 of the sets A2, B2 and C2; and notifying, by the MME, the UE of NAS encryption algorithms in the intersection D1 and NAS integrity algorithms in the intersection D2. passing, by the HSS, the list of NAS algorithms to the MME in a procedure of obtaining of authentication information or a procedure of inserting of subscription data; and wherein the MME selecting the NAS algorithm from the list of NAS algorithms and notifying the UE of the selected NAS algorithm further comprises: determining, by the MME, a set A1 of NAS encryption algorithms and a set A2 of NAS integrity algorithms supported by the MME; determining, by the MME, a set B1 of NAS encryption algorithms and a set B2 of NAS integrity algorithms supported by the UE; determining, by the MME, the set C1 of NAS encryption algorithms and the set C2 of NAS integrity algorithms in the list of NAS algorithms; determining, by the MME, an intersection D1 of the sets A1, Bland C1 and an intersection D2 of the sets A2, B2 and C2; and notifying, by the MME, the UE of NAS encryption algorithms in the intersection D1 and NAS integrity algorithms in the intersection D2. determining, by the MME, a set A1 of NAS encryption algorithms and a set A2 of NAS integrity algorithms supported by the MME; determining, by the MME, a set B1 of NAS encryption algorithms and a set B2 of NAS integrity algorithms supported by the UE; determining, by the MME, the set C1 of NAS encryption algorithms and the set C2 of NAS integrity algorithms in the list of NAS algorithms; determining, by the MME, an intersection D1 of the sets A1, Bland C1 and an intersection D2 of the sets A2, B2 and C2; and notifying, by the MME, the UE of NAS encryption algorithms in the intersection D1 and NAS integrity algorithms in the intersection D2.