A model on formation of the vibrational distribution function of metastable electronically excited N2(A 3 Σ u + ,v) states in nitrogen discharge plasma is presented. By means of comparison with the experimental data the rate constants for the reaction N2(A 3 Σ uhave been clarified. It is assumed that the probability of population of N2(A 3 Σ u + ,v) states by collisional deactivation of N2(B 3 Пg,v') molecules is proportional to the Franck-Condon factors of correspondent N2(B 3 Пg,v') → N2(A 3 Σ u + ,v) transitions, i.e. that the quenching is essentially vertical. The results of calculations carried out under this assumption are in agreement with measured N2(A 3 Σ u + ,v) vibrational distribution at the end of pulsed high current discharge in nitrogen. Study of a variation of the population of vibrational level N2(A 3 Σ u + ,v = 0) in the afterglow of streamer discharge in nitrogen at atmospheric pressure has been performed. It is shown that the dynamics of N2(A 3 Σ u + ,v=0) number density depends essentially not only on their loss in the pooling reaction N2(A 3 Σ u + ,v) + N2(A 3 Σ u + ,v) → product, but also on additional population due to the quenching of high vibrational levels.