The present invention provides porous ceramic materials having good resistance to heat, acid and base, comprising three or more oxides selected from an oxide of silicon (SiO), an oxide of aluminum (AlO), an oxide of a transition metal, MxOy, [wherein M represents a 4B, 5B or 6B-group transition metal which can be selected from Ti, Zr, Hf, V, Nb, Ta, Cr, Mo, W or Ce, x represents an integer of 1 to 3, and y represents an integer of 1 to 3] and its preparation. By applying ceramic materials prepared according to the present invention that are structurally, thermally and chemically stable to a porous honeycomb support for the purification of exhaust gas or to a filter (DPF, Diesel Particulate Filter) for the purification of diesel engine exhaust gas, it is possible to prevent or remarkably reduce any structural destruction caused by corrosive gas, which results from employing a cordierite material as a structural support.