In this study, we introduce a new kind of nonlinear Bernstein-Chlodowsky operators based on q-integers. Firstly, we define the nonlinear q−Bernstein-Chlodowsky operators of max-product kind. Then, we give an error estimation for the q−Bernstein Chlodowsky operators of max-product kind by using a suitable generalizition of the Shisha-Mond Theorem. There follows an upper estimates of the approximation error for some subclasses of functions.