A multi-link convergence method include: receiving a first binding request sent by a client using a first link; sending a first LSID to the client using the first link; receiving a first authentication request sent by the client using the first link; performing authentication on the first link according to the first authentication request; if the first link is authenticated successfully, sending a BID to the client using the first link; receiving a second binding request sent by the client using a second link, where the second binding request carries the BID; sending a second LSID to the client using the second link; receiving a second authentication request sent the client by using the second link; performing authentication on the second link according to the second authentication request; and if the second link is authenticated successfully, sending a binding acknowledgement message to the client using the second link.