An engine exhaust apparatus includes an exhaust passage for flowing exhaust gas emitted from an engine, a flow rectifier for rectifying the flow of the exhaust gas, and an exhaust heat recovery unit disposed in the exhaust passage downstream of the flow rectifier. The exhaust heat recovery unit is provided with an exhaust heat recovery portion and a cooling portion to cool the exhaust heat recovery portion. The engine exhaust apparatus further includes a first diameter reducing portion gradually reduced in diameter toward the exhaust heat recovery unit from the flow rectifier, and a second diameter reducing portion gradually reduced in diameter toward the downstream from the exhaust heat recovery unit.