A method for making correspondence between an MPID (Maintenance Point Identifier) and a MAC (Media Access Control) address, including: each MP (Maintenance Point) on the network is allocated a unique MPID at first; to obtain the MAC address of a destination MP, a MEP (Maintenance End Point) sends a broadcast query message to all the MPs on the network with the MPID of the destination MP; after receiving the broadcast query message, each MP determines whether the MPID in the message is the same as its MPID; if they are same, returns a unicast response message which includes the MPID and the MAC address; otherwise, no operation is performed; the MEP obtains the MAC address of the destination MP from the received unicast response message. The invention overcomes the problem of the prior art that an MEP cannot know the MAC address of a destination MP. By the present invention, various functions of the OAM can be accomplished and the uniqueness of the MPID and the MAC address of an MP on the network may also be ensured.