Abstract: The stability of a perfect fluid flow was the subject of several studies. It is well known that in very many idustrial applications, the improvement of output of any machine crossed by a fluid requires a good knowledge of stability and instability zones of this fluid. The aim of this research is to contribute to the study of Jeffery-Hamel flow stability. Flow of an incompressible viscous fluid from a line source or sink at the intersection of the two rigid planes.