The imaging of light intensity information and phase information of the light field is very important for medical, optical measurement, three-dimensional imaging etc. We have designed a single-pixel imaging system that can achieve complex amplitude imaging of the light field without a reference beam. The imaging system modulates the light field information through a phase-type optical mask, uses a non-resolution photodetector to detect the modulated light intensity information, and uses the Phaselift algorithm to recover the light intensity and phase information of the light field. We utilized the single-pixel imaging system to perform imaging experiments on diffracted light fields and transparent PDMS thin film objects. From the imaging results, light intensity information and phase difference information of the diffraction ring can be clearly observed. The phase difference is 0.053 and the width of the groove is 220 μm of the object film in the experiment, and the phase difference is 0.046 and the width of the groove is 256 μm of the image obtained by the experiment, which indicates that the imaging system is very close to the image information obtained by the traditional detection method. The imaging optical path of the system does not require a reference beam, and the system is simple and easy to integrate, which has promoted the development of portable imaging systems. It can be applied to wide-spectrum imaging and has great development potential in light field complex amplitude imaging.