Some aspects of the problem of a numerical simulation of rates alld spectra ofrnthermonuclear reaction products in a laser driven plasma are considered. Monte-Carlornsimulation is the most commonly used method for this purpose. By using the propertiesrnof the analytical model it is proved that the problem can be reduced to the numericalrnsolution of transcendential equation and numerical integration and the problem couldrnbe performed on a personal computer. The spectra of charged particles alld secondaryrnphotons predicted by S. S. Koteillikov and E. A. Choban [6J are discussed. The resultsrnare qualitatively in agreement with those determined experimentally and by use of thernMonte-Carlo method. The proposed method of solution could be of use as additionalrntool for testing the model of the state of the laser target