Anton Henning's work is represented in the permanent collections of numerous museums including:
Arp Museum, Rolandseck, Remagen, Germany
Art Gallery of New South Wales, Sydney, Australia
Berlinische Galerie, Berlin, Germany
Centre National des Arts, Paris, France
Daros Collection, Zurich, Switzerland
De Pont Museum of Contemporary Art, Tilburg, The Netherlands
Deutsche Bank Collection, Frankfurt am Main, Germany
Essl Museum, Klosterneuburg, Austria
Frieder Burda Museum, Baden Baden, Germany
Fred Jones Jr. Museum of Art, The University of Oklahoma, USA
Galerie für Zeitgenössische Kunst, Leipzig, Germany
Gemeentemuseum, Den Haag, The Netherlands
Krefelder Kunstmuseen, Krefeld, Germany
Kunstmuseum, Luzern, Switzerland
LA County Museum of Art, Los Angeles, USA
Magasin 3, Stockholm, Sweden
MOCA, Los Angeles, USA
Museum für Moderne Kunst, Frankfurt am Main, Germany
National Museum of Art, Osaka, Japan
Neues Museum, Nürnberg, Germany
Nerman Museum of Contemporary Art, Kansas City, USA
Portland Art Museum, Portland, OR, USA
Sprengel Museum, Hannover, Germany
Städel Museum, Frankfurt am Main, Germany
The Menil Collection, Houston, TX, USA
UCLA Armand Hammer Museum, Los Angeles, USA
Valencia Art Contemporaneo, Valencia, Spain