The　plasma　thermal　conductivity　of　three-dimensional　(3D)　strongly　coupled　Yukawa　fluids　(SCYFs)　has　been　investigated　under　the　influence　of　varying　external　force　fields　through　the　recently　improved　homogenous　nonequilibrium　molecular　dynamics　(MD)　approach.　The　effects　of　external　field　strength　(F*)　have　been　calculated　along　with　various　combinations　of　plasma　coupling　(Gamma)　and　screening　parameter　(kappa)　on　the　plasma　thermal　conductivity　of　SCYFs　using　homogenous　nonequilibrium　MD　(HNEMD)　simulations.　New　investigations　show　that　the　plasma　thermal　conductivity　of　complex　plasmas　decreases　with　an　increase　of　external　force　field　strength　and　plasma　coupling　(Gamma).　Our　calculations　show　that　the　decreasing　behavior　is　noted　for　plasma　thermal　conductivity　with　increasing　screening　parameter　and　system　size.　The　HNEMD　simulation　results　under　different　force　field　strengths　are　in　satisfactory　agreement　with　previous　numerical　results　of　nonequilibrium　MD　and　equilibrium　MD　simulations　and　with　reference　data　points　and　it　showed　that　the　deviations　are　within　less　than　+/-　20%　for　the　presented　results.　It　has　been　shown　that　our　numerical　results　extended　the　range　of　external　force　field　strength　up　to　0.001　＜=　F*　＜=　0.1　exercised　in　the　previous　work　in　order　to　establish　the　size　of　the　linear　regimes　and　to　clarify　the　nature　of　linearity　of　3D　SCYFs.　Published　by　AIP　Publishing.