Besides his popularity as scultpor for expressionist sculptures and architectural sculpture, Henning was a representative of the functional architecture of Neues Bauen. Henning created a large number of modern housing complexes in Berlin.
From 1921 to 1923, together with Erich Mendelsohn and Richard Neutra, he rebuilt and extended the Rudolf Mosse publishing house on Jerusalemer Strasse in Berlin-Kreuzberg. In 1931, he designed an elongated block of houses on Metastrasse in Berlin-Lichtenberg that was as austere as it was consistent. His ideas were already considered extremely progressive at the time. The buildings were oriented in a north-south direction, thus ensuring optimal sunlight. All apartments were equipped with private bathrooms.
He collaborated with Walter Gropius and Hans Scharoun on the large Siemensstadt housing estate. The housing estate he designed in Baumschulenweg and the housing estate in Lichtenberg's Metastrasse are now listed as historic monuments.
His residential building in Berlin-Südende, Bahnstraße 19 (today Buhrowstraße) was designed in 1923 by the architect Otto Rudolf Salvisberg.