A polyhedral block toy combined with a magnet is provided to combine polyhedral blocks of various shapes by freely changing a contact area between the polyhedral blocks by movably combining the magnets on each surface of the polyhedral blocks. The polyhedral block toy having a magnet mounting unit formed on a polyhedral unit block surface part and magnets(32) inserted into the mounting unit is composed of polyhedral unit blocks(31) having an inner part divided into plural small moving spaces(Rs) by plural walls(W) and a linear groove-shaped moving space(R) provided with an opening end portion cut off from the outside by a blocking member and formed across at least one surface and spherical small magnets inserted into all or some of the small moving spaces of each unit block to freely move and turn along the total length of the small moving space and formed with a diameter shorter than the half of the length of the small moving space.
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