Ostomy bag securing apparatus, and method of applying same, characterized by implanting a plurality of small powerful permanent bar magnets through skin punctures to positions beneath the skin and surrounding a stoma, without surgical cutting of the skin, and applying a magnetically permeable collar, having a bag removeably affixed thereto, on the outer surface of the skin, concentric with the magnets. Alternatively, the implanted bars may be magnetically permeable, but not permanently magnetized, and permanently magnetized bars disposed on the collar which latter may be formed of non-magnetic material.