The invention relates to a roll mill having a grinding plate and at least one grinding roll rolling on the grinding plate, wherein material which is to be comminuted, after being subjected to loading in a gap formed between the grinding plate and grinding roll, is directed away over the periphery of the grinding plate and, furthermore, a stationary accumulating edge, which does not rotate along with the grinding plate, is provided, at least on that side of the grinding roll which is directed towards the periphery of the grinding plate, this accumulating edge forming at least part of an elevation of the periphery of the grinding plate. The elevation of the periphery of the grinding plate here is higher in the region of the grinding rolls than in the region between the grinding rolls, in order to prevent the material which is to be comminuted from escaping radially from the gap formed between the grinding plate and grinding roll.