Single-pixelimaging offersa meansofovercoming the constraintsimposed bythe limited number of pixels in conventional imaging. The realization of phase imaging in a single- pixel framework with consistent stability and optimal accuracy remains challenging. In this study ,we propose single-pixel phase imaging without interferometry and a phase iteration algorithm. The proposed methodology relies on extracting the zero-orderintensity ofthe Fourier spectrum and experimentally achieves a repetition accuracy and error rate of 0. 12% and 4. 1% ,respectively. These experimental findings indicate that our approach exhibits commendable stability and high accuracy and therefore holds great significance for single-pixel imaging developmentand classicalphase imaging innovation.