Provided is an engine cooling structure for an engine where the engine is cooled by a cooling fluid supplied from a radiator, and the cooling fluid discharged from the engine is cooled by the radiator. The cooling structure includes: an inlet hose having one end coupled to the engine, and having the other end coupled to the radiator, the inlet hose including two or more hose members, and a connecting pipe configured to connect the two or more hose members, to each other; and a clamp including a pipe-side connection portion connected to the connecting pipe, and an engine-side connection portion directly or indirectly connected to the engine. The clamp has a gap between the clamp and the connecting pipe, and the gap functions as a transmission suppressing portion which suppresses transmission of vibrations from the engine-side connection portion to the connecting pipe.