A suspension device, comprising: a damper (2a, 2b, 2c, 2d) interposed between a vehicle body and a wheel in a vehicle and adapted to exert a damping force for suppressing relative movements of the vehicle body and the wheel in a vertical direction; a damping force adjustment mechanism capable of adjusting a damping force in the damper (2a, 2b, 2c, 2d); a control device for controlling the damping force adjustment mechanism; a lateral acceleration detection for detecting an acceleration in a lateral direction of the vehicle acting on the vehicle body; a roll angular velocity detection unit for detecting a roll angular velocity of the vehicle body; and a steering angular velocity detection unit for detecting a steering angular velocity of a steering wheel in the vehicle; characterized in that the control device sets a maximum damping force out of a damping force calculated from the steering angular velocity, a damping force calculated from the acceleration in the lateral direction and a damping force calculated from the roll angular velocity as a steering initial stage additional damping force, calculates a final damping force to be generated by the damper using the steering initial stage additional damping force and performs a steering initial stage control of controlling the damper (2a, 2b, 2c, 2d) based on the final damping force using the steering initial stage additional damping force when the steering angular velocity exceeds a dead band. a damper (2a, 2b, 2c, 2d) interposed between a vehicle body and a wheel in a vehicle and adapted to exert a damping force for suppressing relative movements of the vehicle body and the wheel in a vertical direction; a damping force adjustment mechanism capable of adjusting a damping force in the damper (2a, 2b, 2c, 2d); a control device for controlling the damping force adjustment mechanism; a lateral acceleration detection for detecting an acceleration in a lateral direction of the vehicle acting on the vehicle body; a roll angular velocity detection unit for detecting a roll angular velocity of the vehicle body; and a steering angular velocity detection unit for detecting a steering angular velocity of a steering wheel in the vehicle; characterized in that the control device sets a maximum damping force out of a damping force calculated from the steering angular velocity, a damping force calculated from the acceleration in the lateral direction and a damping force calculated from the roll angular velocity as a steering initial stage additional damping force, calculates a final damping force to be generated by the damper using the steering initial stage additional damping force and performs a steering initial stage control of controlling the damper (2a, 2b, 2c, 2d) based on the final damping force using the steering initial stage additional damping force when the steering angular velocity exceeds a dead band. sets a maximum damping force out of a damping force calculated from the steering angular velocity, a damping force calculated from the acceleration in the lateral direction and a damping force calculated from the roll angular velocity as a steering initial stage additional damping force, calculates a final damping force to be generated by the damper using the steering initial stage additional damping force and performs a steering initial stage control of controlling the damper (2a, 2b, 2c, 2d) based on the final damping force using the steering initial stage additional damping force when the steering angular velocity exceeds a dead band.