The invention provides a laser edge scanning device capable of machining a glass chip of any shape, and relates to the field of solar cell module machining. The laser edge scanning device aims at solving the problems that due to the fact that in a traditional process for conducting edge scanning on the glass chip through lasers, the edge scanning parallelism can not be accurately controlled, the edge scanning accuracy is poor and the machining quality is influenced. According to the laser edge scanning device capable of machining the glass chip of any shape, an air-floating platform is in an annular shape; a vacuum suction cup is arranged in the middle in a shell; the lower end of the vacuum suction cup is arranged on the upper surface of the bottom end face of the shell through a rotatable support; the upper end of the vacuum suction cup penetrates out of a central hole of the air-floating platform; a positioning device is arranged above the air-floating platform; two universal push handles are fixedly connected with the upper end of an adjustable support which is arranged on the right side wall of the shell; the length direction of each universal push handle is perpendicular to the length direction of the adjustable support; and the two universal push handles are symmetrical about the central line, in the length direction, of the shell. The laser edge scanning device is used for machining the glass chip.