Based on the basic principle of wavelet transform,the shortage of one-dimensional complex Morlet wavelet transform in demodulating the tilt fringe pattern with two carrier frequencies was analyzed. Then the method of two-dimensional (2-D) fan wavelet made up of a series of 2-D complex Morlet wavelet was proposed to demodulate such patterns. We compared the two methods through processing deformed fringe patterns with two carrier frequencies. The results show 2-D fan wavelet has better ability to obtain the useful information because it can analyze the signals by adjusting both the scaling factor and rotation angle to reach the optimal match between the singles and wavelet functions. That is,2-D Fan wavelet has advantages to dispose two-frequency components grating patterns because of its multiple-directional property.