A method of producing a polyolefin resin film comprising melt-extruding a polyolefin resin from a circular die toward the antigravity direction to form a tubular film and cooling the tubular film while receiving the film toward the antigravity direction, wherein a water-absorbing material containing water and having a width in the gravity direction of 5 mm or more is brought into contact with the peripheral surface of the tubular film to cool the film, at any position distant by 0 to 200 mm toward the gravity direction from the frost line obtained by air cooling.