  In this paper, we consider a class of Hessian quotient equations in the
warped product manifold $\overline{M}=I\times_{\lambda}M$. Under some
sufficient conditions, we obtain an existence result for the star-shaped
compact hypersurface $\Sigma$ in $\overline{M}$ using standard degree theory
based on a priori estimates for solutions to the Hessian quotient equations.
