Abstract: An analytical model is presented, which calculates recombination radiation in He and Ly characteristic plasma lines formed as a result of irradiating a solid target with an intense picosecond laser pulse. For calibration, this model is compared with the computer FLYCHK code. According to the results of the comparison, the region of the model applicability lies in the temperature range of the main plasma volume of 200–2000 eV and the electron density of 10 ²³ –10 ²⁴ cm ^–3 . The advantage of this analytical model is its simplicity, which makes it possible to be used for quick estimates of the luminosity of the characteristic plasma lines at a given temperature and density, or, vice versa, to determine the density and temperature of a plasma source from the relative height and structure of the emitted lines.