PURPOSE: To enable to effectively trap fine particles contained in exhaust gases by providing a plurality of projections on a skeleton of a porous ceramic body which skelton provides inside continuous spaces for passage of exhaust gases.

CONSTITUTION: The structure A for cleaning the exhaust gases of an internal- combustion engine of an automobile or the like consists of the porous ceramic body 1 of a three-dimensional network structure having the inside continuous spaces 2 communicated with the exterior. The skeleton 3 comprising the spaces 2 is covered by a ceramic layer 4 having a plurality of the projections 4a. To produce the structure A, for example, a cylindrical foamed body of an organic material (polyurethane or the like) of a three-dimensional network structure having inside continuous spaces communicated with the exterior is applied with a predetermined amount of a slurry of cordierite powders containing a binder by repeating an infiltration-drying cycle. Then, a urethane-based slurry of cordierite powders and other slurry are infiltrated into the inside spaces and are foamed on the surfaces of the skeleton of the cylindrical foamed body, followed by drying and sintering to obtain the structure A.