A particulate trap for diesel engine use which is less likely to vibrate or deform under exhaust pressures achieves goods results in particulate trapping properties, pressure drop, durability and regenerating properties. This trap has a filter element having a plurality of flat or cylindrical filters of three-dimensionally reticulated porous member. Longitudinally extending exhaust incoming and outgoing spaces are defined alternately between the adjacent filters by alternately closing the inlet and outlet ends of the spaces between the adjacent filters. Gas permeable reinforcing members are inserted in the exhaust outgoing spaces to prevent the filter from being deformed due to the difference between the pressure upstream and downstream of each filter produced when exhausts pass through the filters. Similar gas permeable reinforcing members may also be inserted in the exhaust incoming spaces or at both ends of the filter element to more positively prevent vibration of the filters.