A　discrete　ordinates　method　for　two-dimensional　neutron　transport　equation　based　on　unstructured-meshes　is　derived　from　the　first　order　neutron　transport　equation.　A　set　of　differential　equations　about　the　spatial　variables　can　be　obtained.　They　are　solved　iteratively　by　using　the　least-squares　finite　element　method.　A　two-dimensional　transport　calculation　code　is　encoded.　The　numerical　results　of　some　benchmark　problems　demonstrate　that　this　method　can　be　used　in　unstructured-meshes　and　can　give　high　precision　result.