The method enables metallurgical silicon to be purified by directional solidification to obtain solar or photovoltaic grade silicon. A crystallization step uses at least one silicon seed, preference of solar grade or even microelectronic grade, having for example a purity substantially equal to or greater than a predetermined purity of the solar-grade silicon. The silicon seed which covers the bottom of the crucible can come from a previous crystallization or be formed by a silicon wafer. The use of a single-crystal or textured multi-crystal seed enables crystallographic orientation of the solar-grade silicon. An intermediate layer of solid metallurgical silicon can be arranged on the silicon seed and a metallurgical silicon feedstock is arranged on the intermediate layer.