The invention relates to the technical field of clamping devices, in particular to a multi-direction floating clamping device. The multi-direction floating clamping device comprises a support, clamping plates, a driving connecting rod, a spring support plate and a driving rod fixedly connected with the middle of the driving connecting rod. A supporting platform is arranged on the support. The middle portion of the supporting platform is provided with a conical hole corresponding to the inclination of the upper ends of the clamping plates. An upper plate of the support is provided with a mounting hole. The mounting hole is internally and axially provided with a locating sleeve. The upper end of the locating sleeve is uniformly provided with inclined holes in the circumferential direction. The axis of the conical hole and the axis of the mounting hole are consistent. The inclination of the inclined holes is consistent with the inclination of the clamping plates passing through the corresponding inclined holes. The clamping plates penetrate through the mounting hole and the inclined holes in sequence from bottom to top. The middle portions of the clamping plates are hinged to one endsof a supporting plate located on the two sides of the locating sleeve. The other end of the supporting plate is in sliding fit with a guide rod axially fixed to the support. By means of the technicalscheme, the multi-direction floating clamping device is suitable for locating and clamping of a workpiece with an inner flange and has the characteristics of convenient and fast mounting and dismounting and good clamping effect.