A noniterative method was proposed to extract the phase from closed interferograms with tiltshift errors. The proposed method estimates the phase of closed interferogram by Fourier transform, corrects the sign ambiguity of phase by image segmentation, and determines the tiltshift plane by Zernike polynomials fitting. Finally the phase is extracted accurately by least square fitting. Simulation result shows that the residual phase error of the proposed method decreases with the increasing of the number of fringes in interferograms. When the closed interferograms have 4.5 fringes, the average estimation error of tilt shift is 0.37%. Experimental result shows that the root mean square of the residual phase error is only 0.121 7 rad. The proposed method is accurate and non-iterative, can be used in phase shifting interferometry.