We consider an autonomous system of ordinary differential equations, which is solved with respect to derivatives.
To study the local integrability of the system near a degenerate stationary point we use an approach based on Power Geometry method and on the computation of resonant normal forms.
In the previous paper for some plane system depending on five parameters the full set of conditions on these parameters being necessary for the local integrability of this system has been found.
In this paper we found the complete set of sufficient conditions on parameters of the system for which it is integrable near the degenerate stationary point.