Following the modified model used in our previous paper for the study of laser-induced breakdown of molecular nitrogen, in this work we present the influence of secondary ionization processes on the breakdown phenomenon. The analysis is based on the calculation of the electron energy distribution function and its parameters for laser wavelengths covering the range 266-1064 nm, in irradiated molecular nitrogen at atmospheric pressure. The result of computations revealed that no evidence is observed for collision and photoionization processes of ground-state molecules. Under the experimental conditions applied in this analysis, collision processes lead only to the population of excited states. Breakdown of nitrogen at laser wavelengths 532, 355 and 266 nm proceeds totally via photoionization of the excited states. For
= 1064 nm, electron growth is obtained due to multi-photoionization of the excited states, in addition to the contribution of collisional ionization of these states.