A vehicle damping system, comprising: a first damper including a first cylinder filled with oil and a first piston separating an inside of the first cylinder into two oil chambers (R1,R2), the first piston including an orifice for communication between the two oil chambers (R1,R2), the first piston being configured to move in the first cylinder; a second damper including a second cylinder filled with oil and a second piston separating an inside of the second cylinder into two oil chambers (R1,R2), the second piston including an orifice for communication between the two oil chambers (R1,R2), the second piston being configured to move in the second cylinder; and an oil channel that connects the first cylinder and the second cylinder and allows oil to move between the first cylinder and the second cylinder, wherein the oil channel includes a first oil channel connected to the first cylinder, a second oil channel connected to the second cylinder, and a switching valve (65, 165) arranged between the first oil channel and the second oil channel, the switching valve (65, 165) includes a valve main body (65M, 165M) having a first switching channel formed therein for connecting the first oil channel and the second oil channel, and the valve main body (65M, 165M) is switchable to a first position where the first switching channel connects the first oil channel and the second oil channel to each other and to a second position different from the first position, the vehicle damping system further comprising a middle cylinder including a piston, an oil chamber, and a gas chamber, the piston separating the middle cylinder into the oil chamber and the gas chamber, wherein the first oil channel and the second oil channel are connected to the oil chamber of the middle cylinder, a throttle is disposed on the first oil channel connecting the middle cylinder and the first damper, a throttle is disposed on the second oil channel connecting the middle cylinder and the second damper, the oil channel includes a first bypass channel connecting the first oil channel and the second oil channel to each other without going through throttles (63L, 63R) disposed on the first and second oil channel (EL, ER) and without going through the oil chamber of the middle cylinder, the switching valve (65, 165) is arranged in the first bypass channel, and when the valve main body (65M, 165M) of the switching valve (65, 165) is at the first position, the first bypass channel connects the first oil channel and the second oil channel via the first switching channel. a first damper including a first cylinder filled with oil and a first piston separating an inside of the first cylinder into two oil chambers (R1,R2), the first piston including an orifice for communication between the two oil chambers (R1,R2), the first piston being configured to move in the first cylinder; a second damper including a second cylinder filled with oil and a second piston separating an inside of the second cylinder into two oil chambers (R1,R2), the second piston including an orifice for communication between the two oil chambers (R1,R2), the second piston being configured to move in the second cylinder; and an oil channel that connects the first cylinder and the second cylinder and allows oil to move between the first cylinder and the second cylinder, wherein the oil channel includes a first oil channel connected to the first cylinder, a second oil channel connected to the second cylinder, and a switching valve (65, 165) arranged between the first oil channel and the second oil channel, the switching valve (65, 165) includes a valve main body (65M, 165M) having a first switching channel formed therein for connecting the first oil channel and the second oil channel, and the valve main body (65M, 165M) is switchable to a first position where the first switching channel connects the first oil channel and the second oil channel to each other and to a second position different from the first position, the vehicle damping system further comprising a middle cylinder including a piston, an oil chamber, and a gas chamber, the piston separating the middle cylinder into the oil chamber and the gas chamber, wherein the first oil channel and the second oil channel are connected to the oil chamber of the middle cylinder, a throttle is disposed on the first oil channel connecting the middle cylinder and the first damper, a throttle is disposed on the second oil channel connecting the middle cylinder and the second damper, the oil channel includes a first bypass channel connecting the first oil channel and the second oil channel to each other without going through throttles (63L, 63R) disposed on the first and second oil channel (EL, ER) and without going through the oil chamber of the middle cylinder, the switching valve (65, 165) is arranged in the first bypass channel, and when the valve main body (65M, 165M) of the switching valve (65, 165) is at the first position, the first bypass channel connects the first oil channel and the second oil channel via the first switching channel.