The scaling properties of high-order Lagrangian velocity structure functions are investigated numerically for a turbulent flow with a friction-velocity based Reynolds number Reτ =80.The Lagrangian particles are released from locations of different distances to the wall.The relative scaling exponents ζUL(q) of the longitudinal velocity component are found to increase with the released distance to the wall and to approach asymptotically to theoretical predictions.However,the scaling exponents ζUL (q) of the transverse velocity component are smaller than ζUL(q),indicating a more intermittent nature.Specifically for the release locations in the center region,the relative scaling exponents ζUL(q) agree very well with theoretical predictions.