A pillow having a plurality of polygonal units, which 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.