A smooth edge strip for engaging a carpet edge at a floor edge adjacent a wall is held in place by a bracket having a bracket body defining a mounting plate for attachment to the wall at the floor edge and a channel portion for receiving the smooth edge strip so as to hold the smooth edge strip flat on the floor. The channel portion includes an upper leg across the top of the strip which connects to the wall plate at the corner with the floor by a downwardly inclined portion. The wall plate is arranged at an angle to provide spring bias tending to hold the channel and the strip held thereby in contact with the floor.