In this study, we give the monotonicity of the Bernstein-Chlodowsky max product operator. Then, we introduce Bernstein-Chlodowsky-Kantorovich operators of max-product type and obtain this operator preserves quasi-concavity. Also, we give some approximation properties of Lipschitz functions by max-product kind of Bernstein-Chlodowsky-Kantorovich operators.