The robustness analysis for a linear singular system with uncertain parameters and static output feedback control is considered in this paper. The problem is transformed into a robust nonsingularity problem. Based on linear fractional transformation (LFT) approach, the robustness bounds to preserve regularity, impulse immunity, and stability are found in terms of the structured singular value fr with respect to parametric uncertainties. The LFT approach provides a unified framework for robustness analysis of both uncertain linear continuous/discrete-time singular systems.