The hollow rectangular quad-Airy beam (HRQAB) is proposed in this paper based on the Fourier transform of the hollow flat-topped Gaussian beam with a cubic phase. The propagation characteristics of HRQAB are investigated in detail. Compared with common quad-Airy beam (QAB), the four focusing property and hollow rectangular profile of this beam are found. In the four-focusing plane, the positions and intensities of the four light spots could be controlled by the initial radius r0, the order of hollow Gaussian beam N, and the coefficient in the cubic phase α. After propagation some distance, a hollow rectangular shape is formed; the area of the hollow region increases significantly with the increase of r0; its intensity of the hollow rectangular light spot would become stronger for a larger α. Finally, the HRQAB is generated in experiment and its special properties are demonstrated.