In　this　paper,　we　consider　the　Cauchy　problem　of　a　compressible　Navier–Stokes　system　of　Eills-type　non-Newtonian　fluids.　We　investigate　the　time　decay　properties　of　classical　solutions　for　the　compressible　non-Newtonian　fluid　equations.　More　specifically,　we　construct　a　new　linearized　system　in　terms　of　a　combination　of　the　solutions,　and　then　we　investigate　the　long-time　behavior　of　the　Cauchy　problem　for　the　three-dimensional　isentropic　compressible　Eills-type　non-Newtonian　fluids　with　an　initial　perturbation.　©　2024,　The　Author(s).