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We study the electronic and vibrational kinetics of molecular nitrogen in the stratosphere of Titan during precipitation of galactic cosmic rays. The composition of Titan’s atmosphere at the altitudes is considered as the mixture of N2-CH4-H2-CO gases with admixtures of hydrocarbons. Special attention is paid to the investigation of the role of inelastic molecular collisions in the redistribution of the excitation energy between different molecular degrees of freedom. It is shown that inelastic intramolecular and intermolecular electron energy transfers during the collisions influence on vibrational populations of excited and ground electronic states of N2 at the altitudes of the stratosphere. The important role of electronically and vibrationally excited molecular nitrogen in the excitation of other atmospheric components is discussed.