A rotary screen printing press includes: a sub-frame supporting a screen plate with brackets interposed therebetween, the screen plate being formed in a cylindrical shape; a screen-plate engagement-disengagement cylinder configured to move the sub-frame between a print position and a retreat position; and supporting plates supporting a squeegee in such a way that the squeegee is engageable with and disengageable from the inner periphery of the cylindrical screen plate. The supporting plates are supported on the sub-frame.