To provide a connector for a scaffolding structural member, for positively connecting and securing the structural member to a support of scaffolding, and facilitates mounting and dismounting of the structural member to/from the support.

The connectors 17, 18 for respective braces 14A, 14B are formed like the U letter so as to be engageable with a connecting frame 15 of the support 11 sideways. Then an upper engaging pieces 21 opposite to an upper side of the connecting frame 15, and a lower engaging piece 22 opposite to a lower side of the connecting frame 15 have wedge clamping holes 21a, 22a formed therein, respectively. Then an upper engaging pieces 25 opposite to the upper side of the connecting frame 15, and a lower engaging piece 26 opposite to the lower side of the connecting frame 15 have wedge clamping holes 25a, 26a formed therein, respectively. Further the upper connector 18 for one of the braces 14A, and the lower connector 17 for the other brace 14B are engaged with the single connecting frame 15 in a manner vertically shifting the connectors from each other, and a wedge 19 is driven into the wedge clamping holes 21a, 22a, 25a, 26a formed in the respective engaging pieces 21, 22, 25, 26 superposed on each other across the connecting frame 15, to thereby firmly connect both the connectors 17, 18 to the connecting frame 15.