A method for producing a composite zinc or zinc alloy electroplated metal sheet comprising subjecting a metal sheet to electroplating with zinc or a zinc alloy in a plating solution which contains at least one organic compound selected from the group consisting of alkynes, alkynols, amines and salts thereof, thio compounds, heterocyclic compounds, and aromatic carboxylic acids and salts thereof in an amount in the range of 0.001-10 wt % to form, on at least one surface of the metal sheet, a composite zinc or zinc alloy plated coating having a coating weight of 0.5-200 g/m.sup.2 and containing 0.001-10 wt % of co-deposited carbon, the composite zinc alloy plated coating having a carbon-rich surface layer wherein the carbon content is higher than the rest of the plating, the electroplating being performed by using a pulse current having an off-time of 1 msec to 1 second and a duty factor of at least 0.5 or a superimposed AC current having a frequency of 1-100 Hz and a current variation peak of .+-.1% to .+-.50%.