Under the APG II system, Buxaceae is a family unplaced as to order in the eudicots. This family may optionally include the genus Didymeles, which in Cronquist system was given its own family and order, placed in subclass Hamamelidae. APG II allows the option of continuing treating Didymeles as a family of its own.
In addition, APG II mentions the possibility that in a future version of the system the family Buxaceae might be elevated to ordinal status. In that case Buxales Takht. ex Reveal (1996) could become an order of one to two families. This name is so used by the AP-Website