The invention discloses a constant volume diaphragm type filter press which comprises brackets, clamping screw rods, positioning blocks, filter press units, pressing screw nuts, and the like, whereinthe filter press units comprise squeezing components and filtering components; the squeezing components comprise first frames, first partition plates, support bases, piston holes, piston rods, diaphragm covers, diaphragm cushion plates, diaphragm fasteners, diaphragms and exhaust holes; and the filtering components comprise second frames, second partition plates, filtering plates, filtering cloth,feeding holes, dreg discharge holes and liquid outlet holes. By adopting the technical scheme of the invention, repeated opening and closure of the filter press units are not needed in the filter press process, so that the production efficiency can be improved; and the whole filter press units are at a normally closed state, so that a material liquid can be prevented from being splashed out whenthe filter press units are opened and closed, and body damage to production operators can be avoided.