The ink roller consists of a surface layer (18) of a synthetic resin or a rubber-like material which has an ink absorption power and whose surface can be polished is disposed on the surface of a mandrel, a large number of substantially spherical particles are mixed into this surface layer and predetermined spherical particles are exposed partly in the surface region (17) of the surface layer so as to form a large number of convexities (16) independently of one another. Accordingly, the apparatus of the invention can keep a transfer function ink in a predetermined quantity for an extended period of time and can improve printing performance of a printing press. Therefore, the present invention can provide an ink roller for a printing press which can be produced and repaired easily and a method of producing the same.