A method of sending downlink information, an Access and Mobility Management Function entity and a Network Function entity are provided. The method of sending downlink information includes: receiving, by an AMF entity, a first notification message sent by a NF entity and configured to call a first service of the AMF entity; sending to the NF entity, by the AMF entity, indication information configured to indicate that a UE is in a connected state; receiving, by the AMF entity, a second notification message sent by the NF entity and configured to call a second service of the AMF entity; and sending, by the AMF entity, downlink information to the UE.