Disclosed by the present application is a direct connection communication method, an AMF, an access network functional entity and a terminal. The direct connection communication method comprises: a first terminal sending a direct connection communication request message to a second terminal, the request message carrying a direct connection communication quality of service (QoS) parameter; the first terminal receiving a direct connection communication response message which is from the second terminal and which is determined by according to the direct connection communication QoS parameter, the direct connection communication response message being used to indicate that the second terminal accepts or rejects a request of the first terminal; and if the direct connection communication response message indicates that the second terminal accepts the request of the first terminal, the first terminal establishes a direct connection communication connection to the second terminal according to the direct connection communication response message.