A Fourier-domain optical coherence tomography based on sinusoidal phase modulation is presented. The complex Fourier domain interference fringe is reconstructed by detecting its real and imaginary components by sinusoidal phase modulating interferometry. After inverse Fourier transform of complex interference fringes, the complex conjugate mirror images, direct current background and self-coherent noise in the Fourier-domain optical coherence tomography are eliminated. The tomographic experiment on glass sample is carried out. The result indicates that the range of imaging depth is doubled, and the Fourier domain optical coherence tomography for full-depth detection is realized.