A surgical clamp for occluding a body conduit includes first and second jaws movable relative to each other in a generally parallel relationship. A handle assembly is operable to move the jaws relative to each other between a space position and proximate position. The first jaw has an elongate configuration characterized by a length and a width. First portions of the first jaw have in cross section a first shape which remains generally constant in area along the first jaw, while second portions have in cross section a second shape which varies in area along the length of the first jaw. The resulting clamp has a low profile jaw design which dimensional-shaped cross section which provide increased stiffness and reduced flexibility.