PURPOSE: To provide a terminal position damper which can be assembled horizontally, which has desired shock absorbing characteristics related to a stroke position, which can having a gradully decreasing shock absorbing force characteristic line, and of which manufacture and structure are relatively easy or simple.

CONSTITUTION: A piston system 14 comprises two single pistons 16, 18 fixed to a piston rod 10 and positioned having an interval between them, the single pistons 16, 18 are sealed to a pressure tube 4 using piston rings 38, 39 in this case, the pressure tube 4 has at least one by-pass groove system 40, and in this case, an axial length 42 of the by-pass system 40 is set to be similar to the largest interval 44 between the piston rings 16, 18 of the single pistons 16, 18 at least.