Since November 2012, Axel Lapp has been the director of MEWO Kunsthalle, as well as of Antoniter- and Strigel-Museum in the Bavarian town of Memmingen.
At MEWO Kunsthalle, Lapp curates up to 10 exhibitions per year. In addition to low-threshold offerings, which allow for a first contact with art and culture, these are exhibitions are of established, historic positions, presentations from the collection, one-person shows of contemporary artists, as well as themed exhibitions looking at current issues in art and society. Lapp places a strong emphasis on educational programmes, opening the realm of art for new audiences.
In 2019, Lapp devised a new permanent exhibition for the Strigel-Museum, which revolved around the acquisition of the painting Johannes Cuspinian and his family (1520) by Bernhard Strigel. He is working on the relaunch of the Antoniter-Museum, which will open in 2022.
Lapp co-founded The Green Box and was a publisher there from 2004 until 2013.