We present some results for convergence properties of a system of non linear rational dierence equations subject to multi -point exception handling. The con- vergence of solution to this equation is investigated by introducing an exception handling techniques. We also prove the convergence properties and boundedness concepts for a more general class of rational dierence equation. The obtained results are applied to the analysis of exception handling techniques which is associ- ated with error identication and noise reduction in non linear lters like Extended Kalman Filter associated with non linear dierence equations. Finally some numer- ical examples are showed for exception handling techniques and the same is draw it by MATLAB.