©　2015　L　&　H　Scientific　Publishing,　LLC.　Three-dimensional　strongly　coupled　complex　(dusty)　plasma　(SCCDP)　is　modeled　using　homogenous　nonequilibrium　molecular　dynamics　(HNEMD)　simulations.　The　thermal　conductivity　(λ0)　and　the　effects　of　external　force　field　(F*)　strength　on　the　λ0　of　SCCDP　are　calculated　at　higher　screening　strengths　(κ)　from　generalized　Evan＇s　algorithm.　It　has　been　shown　that　the　presented　investigations　exhibit　a　non-Newtonian　effect　that　the　λ0(Γ)　increases　with　increasing　force　field　strength　that　represents　interaction　contributions　in　Yukawa　conductivity.　It　is　also　verified　that　the　results　obtained　with　different　external　force　filed　strengths　are　in　satisfactory　agreement　with　earlier　numerical　results　and　with　reference　set　of　data　showed　deviations　within　less　than　±10%　for　most　of　the　present　data　point.　Our　very　recently　computed　thermal　conductivity　at　lower　κ　is　validated　by　comparing　the　results　of　λ0(Γ)　at　higher　κ　that　also　extended　the　range　of　force　field　strength　(0.001　≥　F*　≥　0.1)　which　explains　the　nature　of　nonlinearity　of　SCCDP.