High temperature, high density and strong magnetic fields in plasmas produced by ultra-high intensity and ultrashort laser pulses are similar to the main characteristics of astrophysical plasmas. This makes it possible to simulate some astrophysical processes at laboratories. This paper presents our theoretic simulation of aluminum emission spectra in astrophysical plasmas. It can be concluded that using laser produced plasmas, we can obtain rich information on astrophysical spectroscopy, which is unobservable for astronomer.