Outboard engine unit
Outboard engine body (19) is mounted via a swivel shaft (17) to a stern bracket (16). Angle sensor (24), provided on the stern bracket, includes a contact (35) having a maximum operating angle set to be not greater than half of a maximum steered angle of the engine body, and it outputs detection information indicative of an operating angle of the contact (35). Curved member (31) is provided on the engine body (19) and normally held in engagement with the contact (35), and it has a continuously-varying radius of curvature from the central axis (18) of the swivel shaft (17), so that the contact (35) varies in operating angle while sliding along a curved outer peripheral surface (36) of the curved member in response to steering operation. Thus, a steered angle is determined on the basis of the detection information from the angle sensor.