The Alpgundkopf is a mountain, 2,177 m high, in the Allgäu Alps. It lies in the Schafalpenköpfe group, northeast of the Roßgundkopf, from which it is separated by the Alpgundscharte col. To the southeast, 383 metres away, lies the lower Alpkopf and, 1,035 metres away, the small lake of Guggersee.