The invention relates to the technical field of arm support type engineering machinery and particularly discloses a method for inhibiting the vibration of an arm support. The method comprises the following steps of: a step A of detecting an amplitude A, a phase & and a period T of the vibration of the tail end of a tail section of arm support in real time; a step B of comparing the amplitude A with a preset value, entering a step C if the amplitude A is greater than the preset value, and finishing if the amplitude A is less than the preset value; and the step C of driving an arm support oil cylinder on at least one section of arm support to act, so that a motion component with an amplitude A1, a phase &1 and the period T is generated at the tail end of the tail section of arm support, wherein a difference value of the amplitude A1 to the amplitude A is less than a preset difference value, a difference value of the phase &1 to the phase & is nT/2, and n is an odd number. The invention also discloses a system for inhibiting the vibration of the arm support and the arm support type engineering machinery with the same.