There are disclosed a ceramic porous membrane formed with less membrane formation times and having less defects, a small and uniform thickness and a high flux, and a ceramic filter. A silica membrane is formed on a titania UF membrane as an ultrafiltration membrane (a UF membrane) formed on a porous base member which is a microfiltration membrane (also referred to as an MF membrane) and having an average pore diameter smaller than that of the porous base member, and the silica membrane has an average pore diameter smaller than that of the titania UF membrane, and does not substantially permeates the titania UF membrane.