Provided is a hot dip zinc alloy plated steel sheet which is widely used in vehicles, domestic appliances, construction materials or the like and a method for manufacturing the same. A Zn—Al—Mg hot dip zinc alloy plating bath is used for manufacturing the hot dip zinc alloy plated steel strip, and a small amount of Ga or In is added to the plating bath for inhibiting an oxidation reaction of Mg in the plating bath so as to obtain excellent corrosion resistance and external surface of the plated steel sheet which is manufactured at this point.