A partially coherent light source called a hollow rectangular multi-Gaussian Schell-model array (HRMGSMA) is introduced. The relations between the spectral density of the far field and the characteristics of the source are discussed in detail. It is shown that the characteristics of the arrays, including the hollow size, shapes of the arrays and lobes, quantities of rings and lobes, and directions of lobes, can be adjusted flexibly by changing the related parameters of the HRMGSMA source.