Before revision: We prove the existence of bounded solutions of quadratic backward SDEs with jumps, using a direct fixed point approach as in Tevzadze [ 36 ] . Under an additional standard assumption, we prove a uniqueness result ,  thanks to a comparison theorem.
After revision: We prove the existence of bounded solutions of quadratic backward SDEs with jumps, that is to say for which the generator has quadratic growth in the variables (z,u). From a technical point of view, we use a direct fixed point approach as in Tevzadze [ 36 ] . Under an additional standard assumption, we prove a uniqueness result , thanks to a comparison theorem.