Abstract: This paper discusses the robust absolute stability of multivariable systems with multiple sector-bounded nonlinearities and unmodeled dynamics. Linear and nonlinear uncertainties are handled by a unified linear fractional transformation(LFT) model with Popov multipliers. A robust absolute stability criterion is obtained for the discussed systems. A convex optimization procedure is proposed to compute the given criterion. Finally, an illustrative ex- ample is given to show the efficiency of the obtained criterion.