Disclosed herein are a self-oscillation circuit having a means for eliminating a quadrature error and a method for eliminating a quadrature error using the circuit. The self-oscillation circuit having a means for eliminating a quadrature error according to an exemplary embodiment of the present invention includes: a voltage converter converting a current signal from the gyroscope sensor into a voltage signal, a signal magnitude detector measuring a magnitude of a quadrature error signal included in an output signal from the voltage converter, and a quadrature error eliminator generating a signal which has the same phase as the output signal from the voltage converter and the same magnitude as a signal measured by the signal magnitude detector, based on an output signal from the signal magnitude detector and the output signal from the voltage converter.