The utility model provides a universal connecting device which mainly comprises a first flange, a second flange, a flange plate and a plurality of articulating components, wherein the first flange is a flange with an annular splicing neck surface, the outer edge of the first flange forms a ring of annular limiting part, and an annular groove is formed between the annular splicing neck surface of the first flange and the annular limiting part of the first flange; the second flange is a flange with an annular combining neck surface, the outer edge of the second flange forms a ring of annular limiting part, and an annular combining groove is formed between the annular combining neck surface of the second flange and the annular limiting part of the second flange; the flange plate is formed by connecting the first flange with the second flange, and the peripheral surface of the flange plate forms into an annular clamping groove; and each articulating component comprises an articulating block and a connecting piece articulated with the articulating block, and the articulating block is arranged in the annular clamping groove in a clamping way and can slide along the annular clamping groove. The articulating components of the universal connecting device can rotate around the peripheral surface of the flange plate, and the connecting pieces can pivot around the articulating blocks within a certain angle, so that the universal connecting device can meet the requirement of the S-shaped curvature of the appearance of a glass curtain wall with an abnormal shape.