A fluid pressure intensifier in which a body has a side wall and first and second end walls. A tube extends inwardly in the body from the first end wall and a piston head is slidably disposed on the tube. A cylindrical element in spaced relation to the body side wall extends from the piston head toward the second end wall. A fluid inlet in the second end wall supplies pressurized fluid to move the piston head on the tube. A fluid outlet through the tube transfers pressurized fluid from within the element out of the intensifier. The amount of pressure intensification is proportional to the surface area differential of the piston head and a cross section of the element.