This work deals with the problem of dynamic state estimator for a class of non- linear singular dynamic systems.Sufficient conditions for the existence of such observers are provided and the design of such observer is examined. Since our nonlinear dynamic system is singular and assuming that the singular matrix is fullrow rank involves many calculation simplifications; therefore special emphasis in the computational aspect of the observer matrices is discussed supported by some useful comments. In this work, scheme and procedure work for nonlinear dynamical observer control system are proposed and developed to estimate the unmeasured state space points. The proofs of the theorems of this scheme as well as their computational algorithm have been developed and presented. The concluding and necessary remarks and lemmas have also been discussed. Finally, several problems are given to demonstrate the validity and the effectiveness of present work before and after their behaviors are simulated and are shown in graphs.