By preventing a deformation of printing drum of a rotary stencil printing apparatus caused at the time of printing, uniform printed images can be printed even under conditions such as low temperature and high-speed printing and even using an apparatus provided with a large-sized drum. That is, the invention provides a method for stencil printing which comprises winding a perforated stencil sheet around the peripheral wall of a cylindrical printing drum having an ink permeable peripheral wall and rotating around its central axis, supplying an ink to the peripheral wall from the inside of the drum at the time of rotation of the drum, and pressing a printing paper to the outer surface of the peripheral wall of the drum to transfer the ink to the printing paper through the stencil sheet, wherein the peripheral wall of the drum has such a strength that the peripheral wall shows a stress of 0.75 kgf/cm2 or more, preferably 1.4 kgf/cm2 or more when it is deformed by 0.1 cm in a direction towards its central axis and viscosity of the ink is 330 Pa•s or lower, preferably 150 Pa•s or lower. An apparatus for carrying out the stencil printing is also provided.