The invention relates to an apparatus and a method for treating sludge and wastewater, and concretely relates to an apparatus and a method for simultaneously treating park sludge and electroplating wastewater in an electroplating industrial park. The apparatus and the method are mainly used to solve the technical problems of low degradation rate, poor running stability and poor running continuity of existing dual-chamber fuel cell reduction electroplating wastewater technologies. The apparatus comprises a biological cathode chamber, an anode chamber, a chemical cathode chamber, an external electricity storage device and proton exchange membranes; the chambers are separated by the proton exchange membranes, every chamber is provided with a graphite brush electrode, and functional bacteria are attached to all electrodes except an electrode in the chemical cathode chamber; and electrodes in the biological cathode chamber and the chemical cathode chamber are connected in parallel, and are connected with the graphite brush electrode in the anode chamber through the external electricity storage device to form a closed loop. The treatment method comprises the following steps: adding a nutrient solution into the biological cathode chamber, adding the sludge into the anode chamber, adding the electroplating wastewater into the chemical cathode chamber, and regularly replacing a substrate to complete the treatment of the sludge and the electroplating wastewater. The apparatus and the method are suitable for treating wastewater containing chromium, nickel, copper, zinc and cadmium ions, and sludge.