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This paper proposes a 3D face fitting algorithm based on the 3D Morphable Face Model. This algorithm updates parameters at each stage in the fitting process. To simplify measurement of parameters, this algorithm updates the parameters in cylindrical coordinates. The parameters are updated using a cost function which is the difference between the input 3D face data and the fitted 3D face model. This proposed algorithm shows good results when shape, texture and extrinsic variations occur in the 3D domain. The average correlation of the fitted shape and texture parameters to the test values are 0.72 and 0.99, respectively. This 3D face fitting algorithm can be widely used for 3D face analysis and 3D face recognition.