To provide a porous SiC having high porosity, mechanical strength and thermal conductivity, provide its production process and provide various filters having excellent permeation performance using the porous SiC.

Si powder is mixed with C powder to obtain a mixture having an Si powder content of 30-61 wt.%. The mixture is sintered and the carbon remaining in the sintered material is eliminated by heating to obtain a porous SiC having a porosity of 61-75% and containing a three-dimensional skeleton texture composed of hexagonal α-SiC particles bonded with each other by sintering necking. Since the porous SiC has high porosity and permeation performance as well as high strength and high thermal conductivity, it is suitable as a filter for liquid filtration and a particulate filter.