A mobile construction debris shredder having a debris shredder enclosure for receiving construction debris to be shredded, a feed conveyor operatively connected to the debris shredder enclosure for transporting the construction debris to be shredded to the debris shredder enclosure, debris shredding equipment contained within the debris shredder enclosure for shredding the construction debris into shredded debris, a hopper for receiving and storing the shredded debris; and a shredded debris conveyor for conveying the shredded debris from the debris shredder enclosure to the hopper. A method for disposing of construction debris by shredding the construction debris into shredded debris using the mobile construction debris shredder and dispersing the shredded debris at a construction site as mulch.