The gold double-disk targets were irradiated by 3ω0 laser, and time-space properties of X-ray spectra were investigated at “Xingguang” laser facility. A four-pinhole transmission grating array and a picosecond frame camera were combined, and the three-dimensional measurement of X-ray time, space and energy spectra was conducted on the laser shotting region and X-ray radiation ablating region. The X-ray relaxation process and some important physics results such as the N band, O band and 0th spectra versus time and space as well as two-dimensional spatial distribution of plasma jet and plasma expansion speed were observed.