A cam structure driving a tappet having a crowning on a top face and connected to a base end section of an intake or exhaust valve of an engine, includes: a camshaft rotating in synchronization with a crankshaft of the engine; a cam lobe mounted on the camshaft, and including: a base cam including: a base circular section having a mounting hole for the camshaft; and a valve lift section having a cut-out section in a tip end portion; and a roller provided in the cut-out section and having a cylindrical section with a constant diameter. A center section in a width direction of the base cam makes contact with the tappet at a position deviated from a center of the top face of the tappet, and the cylindrical section makes contact with the center of the top face of the tappet.