The invention discloses a bracket mounting device and a bracket mounting method. The mounting device comprises a mounting table, bracket grooves formed in the mounting table, locating mechanisms, upper pressing mechanisms capable of vertically moving, first clamping mechanisms, second clamping mechanisms and a push mechanism driving the mounting table to longitudinally move, and the first clamping mechanisms and the second clamping mechanisms are arranged on two opposite sides of the bracket grooves. The positions of brackets on the bracket grooves are located through the locating mechanisms, after locating, the vertical positions of the brackets are pressed downwards to be fixed through the upper pressing mechanisms, the moveable first clamping mechanisms are moved, and no clearance exists between glue blocking blocks on two sides of the bracket grooves and the brackets. Then, the pushing mechanism is used for pushing the whole mounting table, the brackets are made to move towards glass, the glue blocking blocks move in the opposite direction in the pushing process, the glue blocking blocks can block two sides of the brackets all the time, it is guaranteed that no clearance exists between the glue blocking blocks and the brackets, bonding glue is prevented from flowing outwards, and flowing-back bonding glue can be distributed between the brackets and the glass more evenly.