A method of measuring Young’s modulus of metal wire by changing the double gratings’angle is presented. Based on the high sensitivity of Moiré pattern about the changing angle，the movable grating is placed on a lever platform so that the weeny linear displacement can be turned into the width variation of the Moiré pattern caused by the angular displacement between the two gratings. Correspondingly Young’s modulus of metal wire can be calculated. 　The experimental results have shown that this method is simple，accurate and in line with expectations.