We　characterize　the　continuous　g-frames　and　the　continuous　g-Riesz　basis　by　the　synthesis　operator　and　a　bounded　operator　L　associated　with　two　continuous　g-Bessel　sequences;　we　also　construct　new　continuous　g-frames　from　a　given　continuous　g-frame.　Finally　we　show　that,　under　some　proper　conditions,　the　remainder　of　some　given　continuous　g-frame　by　deleting　some　elements　can　also　be　a　continuous　g-frame.