Abstract: The author defined the Rota-Baxter operator whose weight was λ for q-3-Lie algebras, and gave the necessary and sufficient condition for P to be Rota-Raxter operator with weight λ of q-3-Lie algebras. They could be derived from Rota-Baxter Lie-algebras, Rota-Baxter q-Lie algebras, Rota-Baxter pre-Lie algebras and Rota-Baxter group algebras.

Key words: q-3-Lie algebra, Rota-Baxter q-3-Lie algebra, Rota-Baxter operator