This　paper　studies　the　propagation　of　oblique　incident　seismic　P　waves　as　they　pass　through　joints　containing　saturated　fluids　with　different　media　on　both　sides.　For　joints　containing　saturated　fluids,　the　viscoelastic　model　is　used　to　study　the　dynamic　deformation　characteristics.　The　complete　solution　for　seismic　P　waves　propagating　through　joints　is　derived.　The　reflection　and　transmission　coefficients　that　occur　at　arbitrary　angles　for　different　ratios　of　wave　impedance　are　studied.　The　effects　of　the　frequency,　viscosity　coefficient　and　ratio　of　wave　impedance　on　the　reflection　and　transmission　coefficients　are　discussed.　The　results　show　that　the　reflection　and　transmission　coefficients　vary　continuously　as　the　angle　increases　when　the　ratio　of　wave　impedance　is　＜1.00.　However,　when　the　ratio　of　wave　impedance　is　＞1.00,　the　reflection　coefficients　are　continuous,　but　the　transmission　coefficients　are　discontinuous.　When　the　viscosity　of　the　joint　is　not　considered,　as　the　frequency　of　the　incident　wave　increases,　the　reflection　coefficients　of　the　reflected　P　wave　and　SV　wave　increase,　the　transmission　coefficient　of　the　transmitted　P　wave　decreases,　and　the　transmission　coefficient　of　the　transmitted　SV　wave　first　increases　and　then　decreases.　When　the　viscosity　of　the　joint　is　considered,　the　difference　between　the　reflection　and　transmission　coefficients　under　different　viscosity　coefficients　decreases　as　the　frequency　increases.　Moreover,　with　increasing　values　of　the　viscosity　coefficient,　the　reflection　and　transmission　coefficients　are　closer　to　those　values　that　viscosity　is　not　considered.　The　results　also　show　that　the　reflection　coefficients　are　continuous,　while　the　transmission　coefficients　are　discontinuous　as　the　ratio　of　wave　impedance　increases.