For the practical application of a YBCO superconductor bulk magnet, the superconductor bulk magnet with strong and stable magnetic field on a large area surface should be fabricated. To satisfy these requirements, we have designed a conduction-cooled bulk magnet system using six single grain YBCO bulk superconductors. Six rectangular-shaped YBCO bulk superconductors with a dimension of $38{ imes}38{ imes}15mm^3$ were field-cooled at 20 K using a superconductor magnet with maximum operating magnetic field of 4 T. The magnetic flux of 3.0 T and 2.8 T were achieved on the surface of bulk superconductors and over the vacuum chamber surface of the refrigerator, respectively.