Abstract: A gyro compass having a gyro case housing therein a gyro whose spin axis is held substantially in the horizontal plane, a supporting device for supporting the gyro case with freedom of three axes and means for applying a torque proportional to an inclined angle of the gyro spin axis relative to the horizontal plane around a vertical axis of the gyro case perpendicular to the spin axis is disclosed in which there are provided a detecting device for detecting an inclination angle of the spin axis relative to said horizontal plane, torquer for applying a torque to the gyro case about its vertical axis, and an acceleration error controlling device for receiving an output signal from the detecting means and for controlling the torquer such that the torquer produces a predetermined torque to be applied to the gyro case about its vertical axis.