To provide a high strength galvanized steel sheet and galvanized steel sheet excellent in the coating stickiness and pressing workability, in which non-coated point is not developed at the galvanizing time, even when the high strength steel sheet adding the strengthening elements, such as Si, Mn, is used as a base stock.

A steel slab having the composition containing 0.0001-0.30 wt.% C, ≤3.0 wt.% Si and 0.1-3.0 wt.% Mn, is hot-rolled and successively, if necessary, after applying cold-rolling, and after heating to ≥750°C, this rolled steel sheet is cooled and successively, the steel sheet surface is pickled with an acid containing 0.05-10 wt.% HF under the condition that pickling reduced amount of the steel sheet becomes 0.05-5 g/m2 in Fe conversion. Thereafter, in a continuous galvanizing line, after applying again heating-reduction to the steel sheet at ≥650°C in a reducing atmosphere having 0 to -50°C dew point and 1-100 vol.% hydrogen concentration, the galvanizing treatment is applied.