Provided are a provider edge (PE) device and a method for Ethernet virtual private network (EVPN). A first PE device performs label assignment procedure with a second PE device such that the first and second PE devices share an Ethernet segment identifier (ESI)-excluded label and know a correspondence between the ESI-excluded label and a label combination of an ESI label and a VPN label. The first PE device encapsulates a packet of broadcast, unknown unicast or multicast (BUM) traffic, with the ESI-excluded label instead of the label combination. The first PE device sends the encapsulated packet to the second PE device.