A　continuous　g-frame　is　a　generalization　of　g-frames　and　continuous　frames,　but　they　behave　much　differently　from　g-frames　due　to　the　underlying　characteristic　of　measure　spaces.　Now,　continuous　g-frames　have　been　extensively　studied,　while　continuous　g-sequences　such　as　continuous　g-frame　sequence,　g-Riesz　sequences,　and　continuous　g-orthonormal　systems　have　not.　This　paper　addresses　continuous　g-sequences.　It　is　a　continuation　of　Zhang　and　Li,　in　Numer.　Func.　Anal.　Opt.,　40　(2019),　1268-1290,　where　they　dealt　with　g-sequences.　In　terms　of　synthesis　and　Gram　operator　methods,　we　in　this　paper　characterize　continuous　g-Bessel,　g-frame,　and　g-Riesz　sequences,　respectively,　and　obtain　the　Pythagorean　theorem　for　continuous　g-orthonormal　systems.　It　is　worth　that　our　results　are　similar　to　the　case　of　g-ones,　but　their　proofs　are　non-trivial.　It　is　because　the　definition　of　continuous　g-sequences　is　different　from　that　of　g-sequences　due　to　it　involving　general　measure　space.