Abstract: In a hot-dip zinc-coated steel sheet exhibiting excellent press die sliding characteristics and obtained by performing a molten galvanization and then skin pass rolling on a surface of the steel sheet, a galvanized layer has a three-dimensional average surface roughness ranging from 0.7 .mu.m to 1.4 .mu.m, and a skewness (S) of the amplitude probability distribution of the surface roughness, which is defined by the following equation (1), ranging from 0.1 to -0.3:S=.mu..sub.3 /.sigma..sup.3 (1)where.mu..sub.3 : Three-dimensional moment of the amplitude probability density.sigma.: Standard deviation of the amplitude probability density.

Abstract: A method of producing a hot-dip galvannealed steel sheet from a very-low-carbon cold-rolled steel sheet containing not less than 0.01 wt % but not more than 0.1 wt % of Ti, by subjecting the cold rolled steel sheet to a process conducted in a continuous hot-dip galvanizing system including a heat treatment, hot-dip galvanizing and a subsequent galvannealing. The method is characterized by the steps of: subjecting the cold-rolled steel sheet to a degreasing and an acid cleaning; subjecting the degreased and acid-cleaned steel sheet to a heat treatment conducted in a reducing gas atmosphere; and cooling the heat-treated steel sheet at a temperature not lower than 380.degree. C. but not higher than the hot-dip galvanizing bath temperature, before the steel sheet is subjected to the hot-dip galvanizing. The very-low-carbon cold- rolled steel sheet contains, besides not less than 0.01 wt % but not more than 0.1 wt % of Ti, not more than 0.005 wt % of C, not less than 0.01 wt % but not more than 0.