This paper deals with the robust ${\cal H}^\infty$ control problem for uncertain continuous-time linear time-delay system with Markovian jumping parameters (ULTDSMJP). Based on the Lyapunov functional, a sufficient condition that assures the robust stochastic stabilizability and preserves the ${\cal H}^\infty$ disturbance attenuation for the uncertain class of linear time-delay systems with Markovian jumping parameters (ULTDSMJP) is established. The uncertainties we consider in this paper are of norm bounded type. A numerical example is given to demonstrate the usefulness of our results.