A heat sink with a hopping diaphragm includes a radiator (7), a device mounting platform (18), an air pressure water control unit (14) and a breathing unit. The air pressure water control unit (14) isinstalled on one side of the radiator (7), the device mounting platform (18) is located on the upper part of the radiator (7), the breathing unit is embedded in the radiator (7), and a power device is fixed on the device mounting platform (18). The air pressure water control unit (14) is isolated from the radiator (7) by a heat insulation material and is connected to the breathing unit through awater conduit (12) to provide water for evaporative heat dissipation to the breathing unit. When a pressure greater than the hopping instability point pressure is applied to a truncated spherical hopping diaphragm (5) of the expansion unit of the breathing unit, the truncated spherical hopping diaphragm (5) is recessed downward, a petal curved-surface valve (6) closes, and gas in the expansion unit (4) is compressed; and the truncated spherical hopping diaphragm (5) is projected upward, the petal curved-surface valve (6) opens, air or water is sucked, and the gas in the expansion unit (4) is exhausted.