This paper discusses the bifurcation problem of axially symmetric, incompressible viscous fluid flow between coaxially rotating infinite disks by using the boundary-domain type procedure for the integral equation formulation. The resulting nonlinear system strongly depending on two parameters characterizing the problem is solved by means of the arc-length method. In order to obtain bifurcation solutions at bifurcation point, the bifurcation equation is solved numerically. In numerical results, we show that "exchange of stability"occures at the bifurcation point for the selected value on rotating ratio s of both disks, and there exist nine types of solution involving limit points in the range of -1=s=1 at the Reynolds number, Re = 500.