This paper deals with the problem of robust stability of uncertain singular continuous systems with time-varying delays. The parametric uncertainties are assumed to be norm bounded. Delay dependent conditions are given to ensure that the uncertain singular system is regular, impulse free, and stable for all admissible uncertainties. The results are given in terms of linear matrix inequalities (LMIs). Finally, numerical examples are provided to illustrate the effectiveness of the proposed method, and to compare with previous works.