A process for continuously and stably preparing an acrylic polymer of a high quality in a high conversion and a high productivity which comprises continuously feeding a synthetic resin film onto a moving support, continuously feeding a monomer or a monomer solution onto the synthetic resin film on the moving support in the form of a thin layer, irradiating a light energy to the thin layer, continuously feeding another synthetic resin film over the thin layer and bringing it into close contact with the thin layer when the thin layer has become substantially nonflowable state, and continuing the irradiation of light energy to produce the polymer.