A bit socket bracket assembly has a frame, multiple bit socket mounts and a burglarproof unit. The frame has a track. Each bit socket mount is detachably and slidably connected with the track and has a hollow positioning section. Each positioning section has a round cross section and can be inserted into a bit socket. The cross sections of the positioning sections are round, so the bit sockets can be rotated. Accordingly, a number or a sign on each bit socket can be rotated to face a user and this is greatly practical and convenient.