Thispaperdealswiththeproblemofrobuststabilityforcontinuous-timesingularsystemswithstatedelayandparameteruncertainty.Theuncertainsingularsystemswithdelayconsideredinthispaperareassumedtoberegularandimpulsefree.Bydecomposingthesystemsintoslowandfastsubsystems,arobustdelay-dependentasymptoticstabilitycriteriabasedonlinearmatrixinequalityisproposed,whichisderivedbyusingLyapunov-Krasovskiifunctionals,neithermodeltransformationnorboundingforcrosstermsisrequiredinthederivationofourdelay-dependentresult.Therobustdelay-dependentstabilitycriterionproposedinthispaperisasufficientcondition.Finally,numericalexamplesandMatlabsimulationareprovidedtoillustratetheeffectivenessoftheproposedmethod.