In　this　article,　we　consider　a　generalized　linear　partially　varying-coefficient　model　for　longitudinal　data　analysis.　A　local　quasi-likelihood　method　is　proposed　to　estimate　the　constant-coefficient　and　varying-coefficient　functions　simultaneously　based　on　the　local　polynomial　kernel　regression.　The　corresponding　standard　error　estimates　are　derived.　Large　sample　properties　are　investigated.　The　proposed　methodologies　are　demonstrated　by　extensive　simulation　studies　and　a　real　example.