For linear singularly perturbed system with delay sufficient conditions for stability for all small enough values of singular perturbation parameter ε are obtained in the general case, when delay and ε are independent. The sufficient delay-dependent conditions are given in terms of linear matrix inequalities (LMIs) by applying an appropriate Lyapunov-Krasovskii functional. LMIs are derived by using a descriptor model transformation and Park’s inequality for bounding cross terms. A memoryless state-feedback stabilizing controller is obtained. Numerical examples illustrate the effectiveness of the new theory.