Laser linewidth puts great effect on the detection range, precision and noise characteristics of the optical coherent detection system. To improve the measurement accuracy of laser linewidth, a new method was proposed based on demodulating the interference spectrum of short delay self-heterodyne. The interference spectrum was obtained by building a short delay self-heterodyne interferometry system. An iterative algorithm was designed to demodulate the coherent envelope of the interference spectrum, and then strict Lorentzian spectrum and the corresponding linewidth were obtained. The feasibility of this method was verified by theoretical analysis, simulation and experiments. Compared to the conventional methods, the proposed method can ignore the influence of the Gaussian broadening caused by laser 1/f frequency noise.