The filter device is provided with a housing (1) and with a stack of filter plates (10, 11) arranged therein at a spacing from one another. The housing includes an inlet (7) for the fluid to be filtered, an outlet (9) for the filtrate which is connected in a conducting manner to the inside of the filter plates (10, 11), and a cavity extending through the stack and formed by recesses in the filter plates (10, 11). The filter plate stack is arranged fixed to the housing, and a centrifugal pump (14) with several impellers (15) is arranged within the filter plate stack. This pump ensures an intensive through-flow of the filter plate stack and thus a removal of the filter residues.