In a hydraulic shovel operability range display device, a calculation unit is configured to set a boundary between an operability range and an underbody area along a vertical direction in a global coordinate system when a vehicle body is horizontally oriented. When the vehicle body is tilted forward, the calculation unit is configured to set the boundary so as to be maintained along the vertical direction in the global coordinate system. When the vehicle body is tilted backwards, the calculation unit is configured to correct the boundary between the operability range and the underbody area so that an angle formed by the boundary and the ground surface on which the vehicle body is positioned is at least 90°.