Abstract: The present invention is a magnetic block with improved magnetic properties comprising a non-magnetic body with outer walls and an internal parallelepiped connected by links. Together, they form cells for placing magnets. The magnets are placed such that the distance between adjacent magnets is not greater than the thickness of magnets. Caps are mounted onto the body and thus form a finished block. The ratio of the area of the face of the rectangular magnet to the area of the corresponding face of the block ranges between 0.15 and 0.6. A construction set comprising a plurality of magnetic blocks is also disclosed, wherein the blocks are different colors. Such a design of the magnetic block and the 6 rectangular magnets allows for very high magnetic attraction properties with which one can build geometrically-complex shapes and high-precision objects.