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In this research four samples of polymer solution of (PVP)dissolved in distilled Water (DW) and ethanol with concentrations (0.004 PVP and 0.008PVP)(mol/L) were prepared  .Rheological and optical properties were studied, whereobservedin rheologicalproperties the viscosity of polymer solution of PVP increased with increasing the concentrations of polymer solution of PVP. Also the density of PVP/DW was large than the density of PVP/ethanol.In optical properties the absorbance spectra increased with the increasing the concentrations of PVP polymer solution.Fourier Transform Infrared spectroscopy (FTIR)showed the bondswhich represents the formula structural of PVP. Silver nanoparticles(AgNPs) of polymer solution of PVPwere added with concentrations (0.1,0.2 and 0.3) wt%,in rheological properties observed the viscosity in PVP/DWwas less than in case of PVP/ethanol, where this difference in viscosity value because the viscosity was depending on the attraction between the particles and on the shape and their size. In optical propertiesit was notedthe appearance peak of absorption spectra at 419nm. Fourier Transform Infrared spectroscopy (FTIR) showed that adding AgNPs of polymer solution of PVP shifted the peaks of bonds in PVP polymer.