An outboard engine cover structure that covers an outboard engine and includes an inner cover on an inside and an outer cover on an outside. The structure includes a flow space for air formed between the inner and outer covers, an intake formed in a lower portion of the outer cover and configured to take in outer air to the flow space, a communication port formed in the inner cover in a position above the intake, and configured to cause an inner space of the inner cover accommodating the outboard engine to communicate with the flow space, first ribs arranged between the intake and the communication port in the flow space; and second ribs arranged between the intake and the communication port and positioned closer to the communication port than the first ribs in the flow space.