A　continuous　finite　element　method　(FEM)　based　on　B-spline　wavelet　on　the　interval　(BSWI)　is　proposed　to　solve　the　first-order　neutron　transport　equation　with　discrete　ordinate　(SN)　angular　discretization.　Two　technologies　are　applied　in　this　method,　one　of　technologies　is　that　the　streamline　upwind　Petrov-Galerkin　(SUPG)　method　is　utilized　to　stabilize　the　first-order　neutron　transport　equation　when　the　FEM　is　used.　Another　is　that　the　scaling　functions　of　BSWI　are　applied　to　replace　the　usual　Lagrange　basis　function.　Based　on　the　above　two　technologies,　the　stabilized　weak　form　of　neutron　transport　equation　applying　the　SUPG　technology　based　on　BSWI　is　derived.　Finally,　some　numerical　examples　are　utilized　to　verify　the　proposed　method.　The　results　demonstrate　that　the　method　can　treat　the　void　region　problem,　and　compared　the　FEM　with　SUPG　technology,　it　can　obtain　fast　convergence　and　numerical　precision　under　the　condition　of　much　less　grid.　Overall,　this　method　has　good　accuracy,　high　computational　efficiency　and　wide　application.　©　2022