A ram type blowout preventer having a seal on each ram, extending across the front face, rearwardly and then over the top portion or the bottom portion of the ram. Each ram forms a leading edge portion above or below the front face seal, so as opposing rams move into the extended sealing position, the leading edge portions of the rams press against each other, imparting a generally vertical movement to bring the seals on the front faces into sealing engagement with each other and to energize the seals extending over the top or bottom portions against the ram bores. The front face of each ram may include a portion which is inclined toward the central bore. Rope packing seals may be provided on the rams having a vertical offset at the front faces of the rams such that rope packing seals on opposing front faces seal against each other.