This paper deals with the class of continuous-time singular linear systems with time delay in the state vector. Delay-independent and delay dependent sufficient conditions on static output feedback stabilization are developed. A design algorithm for a memoryless static output feedback controllers which guarantee that the closed-loop dynamics will be regular, impulse free and stable is proposed in terms of the solutions to linear matrix inequalities (LMIs). Two numerical examples are given to show the effectiveness of the developed results.