A precoated support for a honeycomb structure comprising porous partition walls obtained by coating at least part of inner surfaces of pores of the partition walls having a large number of pores, disposed so as to form a plurality of cells extending between two and faces of the honeycomb structure with a substance containing no noble metal selected from the group consisting of polymers, carbon, oils, fats, silica sols, alumina sols, catalyst slurries containing no noble metal, a slurry of a powder of a material of the support, and slurries containing inorganic material particles, wherein the honeycomb structure comprises porous partition walls having a large number of pores, disposed so as to form a plurality of cells extending between two end faces of the honeycomb structure and plugging portions disposed at either one end of each cell,
- wherein the average pore diameter is greater than or equal to 50 μm but not more than 500 μm, and the mass of the precoating material per unit volume (1 cm3) of the honeycomb structure (g/cm3) is from 0.4 to 12%.