Calculations of the reaction rate of the proton radiative capture on 3 H at temperatures from 0.01 Т 9 up to 5 Т 9 , which are based on the theoretical results for the astrophysical S-factor and take into account the latest experimental data, were carried out. Theoretical results for the S-factor at energies from 1 keV up to 5 MeV were obtained in the framework of the modified potential cluster model with the classification of orbital states according to Young tableaux. On the basis of used nuclear model of the interaction of p and 3 H particles there was shown possibility of description the latest experimental data for the S-factor at the energy range from 50 keV up to 5 MeV. Numbers: 21.60.Gx, 25.40.Lx, 26.35.+c, 26. Reaction No.12 proceeds with comparatively low probability, since the E1 process is forbidden by the isospin selection rules. This leads to the factor J J J