A compression ratio varying arrangement of an engine is adapted to work with a crankshaft having at least one crankpin offset from the centerline of the crankshaft. An eccentric has an internal bore engaged with the crankpin, and an external cylindrical surface that has a centerline that is offset from the centerline of the internal bore. A connecting rod is engaged with the external cylindrical surface of the eccentric, and a piston is connected to the connecting rod. An eccentric lever is attached to the eccentric. A compression ratio adjustment link is connected to the eccentric lever. A compression ratio adjustment mechanism is connected to the compression ratio adjustment link. The compression ratio adjustment mechanism controls the orientation of the connecting rod eccentric, and thereby the compression ratio of the engine, by extending or retracting the compression ratio adjustment link.