Partially　linear　varying　coefficient　spatial　autoregressive　(PLVCSAR)　models　are　powerful　tools　for　analyzing　data　with　complex　features　such　as　non-linearity,　interactions　between　predictors,　and　spatial　dependence.　This　paper　studies　the　estimation　of　the　PLVCSAR　model　by　combining　the　profile　quasi-maximum　likelihood　method　and　the　spline　approximation　technique.　Estimations　of　the　constant　coefficients,　function　coefficients,　variance　of　the　error　term,　and　the　spatial　lag　parameter　are　proposed.　Under　mild　conditions,　the　asymptotic　properties　of　the　proposed　estimators　are　established.　Simulation　studies　and　real　data　analysis　of　Boston　housing　data　illustrate　the　finite　sample　performances　of　the　proposed　estimators.　©　(2024),　(Homology,　Homotopy　and　Applications).　All　Rights　Reserved.