The H1 lecture hall was built in the course of increasing student numbers at the University of Münster which developed into a mass university in the middle of the 20th century. The building, consisting of two cubes arranged in an L-shape, is dominated in its appearance by large glass fronts, formwork-rough exposed concrete and exposed aggregate concrete slabs. Made out of the latter is especially the protruding parapet that encloses the longer of both building cubes. The parapet seems to float between the high windows and with its recurring square recesses it contributes a characteristic detail to the structure's design.

The lecture hall building functions as a mediator between the two inner-city university locations in the city center and in the old town. At the same time, it creates a contrast by being located on the main road directly opposite Münster's baroque castle. Still, the building responds gently to the heights of the surrounding old town architecture by being lowered from the street level. In front of the entrance area, which can be reached via stairs, the relief sculpture by Gerhard Wind helps to draw the attention of passers-by to the modern building despite its hidden location.