The invention provides a 2-stroke internal combustion engine comprising two opposed cylinders, each cylinder housing two opposed pistons and having at least one exhaust port and at least one intake port, and a crankshaft having asymmetrically arranged journals and scotch-yoke mechanisms for driving the journals from the pistons. The pistons in each cylinder operate to open its exhaust port or ports before its intake port or ports and to close its exhaust port or ports before its intake port or ports.