In the Fourier transform profilometry (FTP), the existence and expanding of zero frequency component of the deformed fringe pattern has an influence on the measurement range and accuracy of Fourier transform profilometry. After eliminating the zero frequency component of the deformed fringe, the measurement range of FTP will be three times of that of the traditional FTP. According to Hilbert transform having the nature of 90°phase shift and the direct current (DC) component becoming zero, a new method based on piecewise Hilbert transform is proposed to suppress zero frequency component of the fringe pattern. The zero frequency component of the fringe can be suppressed well because the background of the fringe is a slowly varying function and background distribution in each half period of the fringe should be regarded as constant. So, the proposed method can suppress the zero frequency component of the fringe well. The proposed method enlarges the measurement range of FTP and reduces its measurement error. In the paper, the theoretical analysis is given. Computer simulations and experimental results demonstrate the effectiveness of the proposed method.