The delay-dejpendent memoryless robust stabilisation problem for a class fo uncertain linear systems containing multiple time-dealys and a saturating actuator is considered. The uncertain time-delay sysstems under consideration are described by state differentail equations with time-varying unknown-but-bounded uncertain parameters and multiple time-delays in both state and control; the delays are assumed to be constant bounded but unkown. A new sufficient condition fir the existence fo a memoryless orbust stabilising control law is derived basedon the Lyapunov theorem and linear matrix in equality (LMI) approach. The results depend on the size of delays and are given in terms of several inear matriz inequalities. A numerical example is presented to illustrate the results botained.