In　this　paper,　we　study　the　estimation　for　the　partial　linear　single-index　varying-coefficient　model,　which　is　a　natural　extension　of　the　partially　linear　varying-coefficient　model.　A　stepwise　estimation　procedure　is　developed　to　obtain　asymptotic　normality　estimators　of　the　index　parameter　vector,　the　coefficient　parameter　vector,　and　the　coefficient　function　vector.　The　asymptotic　properties　of　the　resulting　estimators　are　established　under　some　conditions.　A　simulation　study　is　conducted　to　assess　the　performance　of　the　stepwise　estimation　procedure　and　the　results　show　that　our　proposed　procedure　performs　well　in　finite　samples.　Furthermore,　a　real　data　example　is　also　used　to　illustrate　our　proposed　method.