A clutching jig includes a pair of clutching bars, a pair of clutching pieces and a protecting means. Each of the clutching bars includes a top end portion and a bottom end portion. The top end portions are connected to each other and the bottom end portion are separated from each other. Each of the clutching pieces is fixed to the bottom end portion of each of the clutching bars. The clutching pieces are covered by the protecting means and exposed from the protecting means via the protecting means moved relative to the clutching pieces. The protecting blocks will cover the clutching pieces if the clutching jig is unused. The protecting blocks will slide upwardly relative to the clutching bars to urge the clutching pieces to be exposed if the clutching jig is used. Hence, the protecting blocks can protect the clutching pieces to prevent the clutching pieces from damage.