Proceeding from model considerations about the microstructure of a porous body and the quantitative characteristics that govern it in structural regularity criteria analytical solutions are suggested for describing capillary transport of a wetting liquid, including movement of it against gravitational force considering the possibility of partial draining of pore channels. Results of experimental studies of the rate of capillary impregnation and the rise of distilled water, ethanol, and acetone in highly porous specimens prepared from powders of copper, bronze, chromium-nickel steels, titanium and its alloys, discrete fibers of copper and titanium of different diameter, and also grids of different interweaving, are analyzed. Extensive possibilities are demonstrated for controlling capillary effects in porous structures of different construction using technological methods.