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Let G be a split simple group of type G_2 over a field k, and let g be itsLie algebra. Answering a question of Colliot-Th\'el\`ene, Kunyavski\u{i},Popov, and Reichstein, we show that the function field k(g) is generated byalgebraically independent elements over the field of adjoint invariants k(g)^G.  Soit G un groupe alg\'ebrique simple et d\'eploy\'e de type G_2 sur un corpsk. Soit g son alg\`ebre de Lie. On d\'emontre que le corps des fonctions k(g)est transcendant pur sur le corps k(g)^G des invariants adjoints. Ceci r\'epondpar l'affirmative \`a une question pos\'ee par Colliot-Th\'el\`ene,Kunyavski\u{i}, Popov et Reichstein.

The Lie algebra of type G_2 is rational over its quotient by the adjoint action