A crucible of carbon fiber reinforced carbon composite material for crystal pulling and a method of manufacturing the same, the crucible being formed using filament windings in a combination of axially reinforced layers as well as circumferentially reinforced layers, which combination is given in two or more sets. The circumferentially reinforced layers resist a force tending to expand a drum portion of the crucible, and the axially reinforced layers resist a force tending to push down a bottom of the crucible. The axially reinforced layers extending from the bottom to the drum portion can be formed by at least either of a level winding having a contact angle of 0 DEG to 10 DEG relative to the central axis or a poral winding, and the circumferentially reinforced layers in areas adjacent to the drum portion out of the drum portion and the bottom portion can be formed by at least either of a parallel winding having a contact angle of 70 DEG to 90 DEG relative to the central axis or a helical winding. When the axially reinforced layers cover the center of the bottom, an integral crucible of C/C composite material with no hole is provided. The surface of the C/C composite material is impregnated and covered with a pyrolytic carbon to improve resistance to going SiC.