A pillow having a plurality of polygonal units, includes: a triangular pentahedron unit having a shape of a triangular prism; a one-side inclined square hexahedral unit having a shape of a square pillar; a rectangular hexahedron unit having a shape of a rectangular pillar; a both-side inclined rectangular hexahedron unit having a shape of a rectangular pillar; a rhombic hexahedron unit having a shape of a rhombic pillar; an isosceles-triangular pentahedron unit having a shape of an isosceles triangular prism; and a rectangular panel-shaped hexahedron unit having a shape of a rectangular pillar, whereby the units are sewn together in such a way so as to selectively come into surface contact with each other or be stacked, thus forming one pillow, with the respective units being filled with stuffing.