In this study, the concept of Lagrangian mechanics with constraints to complex case is generalized. To be beginning, it is considered a K�hlerian manifold as a velocity-phase space. Then a non-holonomic constraint is given by 1-form on it. If the form is closed, then it is found that the constraint is (locally) holonomic. In the result, complex analogous of some topics in constrained Lagrangian mechanical system is concluded.