ThispaperdealswiththeproblemoftheabsolutestabilityforgeneralneutraltypeLurieindirectcontrolsystemsbyLyapunovmethodandlinearmatrixinequality(LMI)technique.Delay-dependentsufficientconditionsfortheabsolutestabilityarederivedandexpressedasthefeasibilityproblemofLMI,whichcanbeeasilysolvedbyMatlabToolbox.Finally,someexamplesareprovidetodemonstratetheeffectivenessofproposedmethod.