The　notion　of　Hilbert-Schmidt　frame　(HS-frame)　is　more　general　than　that　of　g-frame.　This　paper　addresses　frame　properties　of　HS-operator　sequences.　From　the　literature,　a　g-frame　is　a　HS-frame　in　some　sense.　Interestingly,　in　this　paper　we　prove　that　a　g-Riesz　basis　is　not　a　HS-Riesz　basis　whenever　the　cardinality　of　its　index　set　is　greater　than　1.　Also　we　present　some　operator　parametric　expressions　of　HS-Bessel　sequences,　HS-orthonormal　bases,　HS-orthonormal　systems,　HS-frames,　HS-frame　sequences,　HS-Riesz　bases　and　HS-Riesz　sequences;　characterize　HS-Riesz　bases　and　Riesz　sequences　using　minimality;　and　obtain　a　representation　of　orthogonal　projection　operators　in　terms　of　subspace　HS-frames.