A riding management machine includes a traveling vehicle including a vehicle body, an operator's seat provided on the vehicle body, and a hood provided in front of the operator's seat, a working device attached to the traveling vehicle, a position detector to detect a position of the vehicle body based on a signal from a positioning satellite, and a support body to support the position detector above the hood. The support body includes a pair of struts on opposite sides of the vehicle body in a vehicle-width direction, a connector to connect tops of the pair of struts to each other, and reinforcements to connect the respective struts to the vehicle body.