In a front fork of a motorcycle or other motor vehicle, an oil chamber is provided in an outer side of a hollow pipe is vertically divided into upper and lower sides by a piston arranged in a leading end portion of the vehicle body side tube. An oil reservoir chamber communicated with the oil chamber is provided in an inner side of the hollow pipe. A partition member dividing the oil reservoir chamber into upper and lower sides is provided in an upper portion of the hollow pipe, and a compression side damping valve is provided in a flow path formed in the partition wall member. A seal member slidably contacted with an inner periphery of the vehicle body side tube is provided in an outer periphery of the vehicle body side tube is provided in an outer periphery of the partition wall member.