This paper presents a robust coin recognition method with rotation invariance. The rotation invariance feature is represented by the absolute value of Fourier coefficients of polar image of coin on circles with different radii. The absolute value of Fourier coefficients is considered as the individual feature of the particular coin. Moreover, in this paper, the variations on surface of coin such as light reflection effect, are taken into account. Such variations effect can be reduced using the Fourier approximation of the coin image. Finally, coin can be recognized by the distance between the absolute value of Fourier coefficients obtained from the reference coin and the coin to be recognized. The coin recognition experiments are given to show the effectiveness of the proposed method.