In this paper, the radiation characteristic of laser produced plasma in vacuum environment is studied from experiment and theory. Experimentally, the EUV emission spectrum of the Si plasma is measured by using the time-space resolved laser-produced plasma technique, and the spectrum is identified and analyzed. In order to explore the dynamic properties of the experimental spectra, a simplified radiation dynamic model, which can be used to investigate the radiation properties and dynamics evolution of the laser-produced plasma is established on the basis of the gas dynamic equations and the radiative transfer equation. By using this model, the time-space resolved spectrum is simulated and the temporal and spatial evolution characteristics of the plasma temperature and density as well as the various transient ions are investigated systematically. The results show that the presented radiation dynamic model can reflect the dynamical evolution process of the laser produced plasma and radiation characteristics of the emission spectra very well, and therefore it can be used as an effective tool in laser produced plasma diagnosis. laser-produced Si plasma, time-space resolved spectra, radiation dynamic model