An apparatus for easing an impact on a boom of an excavator and a method of controlling the same are disclosed, which can minimize the vibration occurring in the boom due to the impact on a boom cylinder by actively controlling an amount of hydraulic fluid being supplied to the boom cylinder when the operation of the boom cylinder is suddenly stopped due to an operator's sudden manipulation of an operation lever for a working device. The apparatus includes first and second hydraulic pumps; a boom cylinder; a main control valve; an operation lever for supplying pilot signal pressure to a spool of the main control valve when an operator manipulates the operation lever; operation lever detection means for detecting boom up and boom down signal pressures according to an amount of manipulation of the operation lever; boom cylinder pressure detection means for detecting pressures generated in a large chamber and a small chamber of the boom cylinder; a controller for calculating and outputting a control signal of the main control valve if the boom cylinder has been suddenly stopped; and boom vibration preventing means for controlling the pilot signal pressure being supplied from the second hydraulic pump to the main control valve.