Film flow of an incompressible, electrically conducting fluid in a non-uniform magnetic field is investigated theoretically and experimentally. The effects of the spatial gradient of the magnetic field strength on the flow are examined. Electric current is induced by an interaction of the non-uniform magnetic field with the flow field. And the combined action of it and the magnetic field causes the fluid to accelerate or to decelerate. The electromagnetic force which is induced deforms the liquid level curve and changes the film thickness, and it plays the role of a weir which never contacts with a fluid. An experimental study is carried out for mercury flow. Liquid level curves obtained by the experiments are shown to be in qualitative agreement with those of the approximate analysis. And experimental results can be explained well by analytical ones.