A trap-holding bracket for holding both conibear style body-gripping traps and leghold type traps. The bracket comprises a hollow, generally box-shaped body with top, bottom, front, and rear walls, an enclosed horizontal slot in the front wall, horizontal tab arms extending outwardly from the sides of the top and bottom walls to define extended jaw slots configured to receive and hold the inner wire ends of a body-gripping trap in their set position, and a vertical L-shaped tab arm extending above the front end wall and defining an open-ended lateral slot for receiving an outer base end of a leghold trap in a lateral sliding motion.