The invention provides a supercharged engine including a supercharger and an intercooler disposed downstream of the supercharger. The engine has a geometric compression ratio equal to or higher than 8.5. The supercharger is an internal compression type mechanical supercharger having a pressure ratio higher than 1.8 wherein the pressure ratio is defined as a ratio of a pressure at an inlet opening to a pressure at an exit opening of the supercharger. Intake valve closing timing of the engine supercharger is in the range of 50 to 100 degrees in crank angle as measured from bottom dead center, and an overlapping period during which both intake and exhaust valves open is equal to or below 17 degrees in crank angle wherein the intake valve closing timing is defined as the timing when valve lift is equal to or less than 1 millimeter, and the overlapping period is to be measured on the basis of a valve lift of zero.