A six-stroke engine includes a cylinder, a piston, a cylinder head, a combustion chamber, cylinder injector, a spark plug, an intake port, an exhaust port, an intake valve, an exhaust valve, a valve gear, and a control device. The valve gear operates the intake valve and the exhaust valve to execute six strokes including an intake stroke, a compression stroke without ignition, an expansion stroke without combustion, a compression stroke with ignition, an expansion stroke with combustion, and an exhaust stroke in this order. The control device is programmed to cause the cylinder injector to inject fuel and to energize the spark plug in the compression stroke with ignition.