Abstract: A suspension apparatus for vehicles capable of changing the characteristic of the suspension by controlling supply/release of fluid into/from hydraulic cylinders which are respectively provided between a vehicle body and-at least two wheels provided on the right and left side of the vehicle body. The suspension apparatus includes a pressure detection sensor for detecting a pressure in the hydraulic cylinders and an acceleration detection sensor for detecting a lateral acceleration signal of the vehicle body. A target pressure difference is set to control supply/release of the fluid into/from the right and left cylinders based on the detected pressure differences of the right and left cylinders.