A method and apparatus for local application server discovery in edge computing. A method at a network node comprises determining whether one or more domain name system (DNS) servers in an edge computing of a network are available for a user equipment (UE) based on at least one of local configuration information, the UE's current location, the UE's capability or the UE's user subscription. The edge computing is close to the UE. The method further comprises in response to a positive determination, sending, to the UE, a first message including respective address of the one or more DNS servers in the edge computing of the network.