A zinc or zinc alloy plated steel sheet expressing a performance provided with both corrosion resistance and surface conductivity is provided. The zinc or zinc alloy plated steel sheet of the present invention is a zinc or zinc alloy plated steel sheet having an arithmetic average roughness Ra of a zinc-plated layer surface defined by JIS B 0601, obtained by a stylus-type surface roughness meter defined by JIS B 0651, of 0.3 μm to 2.0 μm and a maximum peak height Rp of 4.0 μm to 20.0 μm, wherein the arithmetic average roughness Ra (peak) obtained by measuring a range of evaluation length of 20 μm of peak parts of 80% or more of the Rp by an electron beam 3D roughness analyzer is 70% or more of the arithmetic average roughness Ra (average) obtained by measuring a range of evaluation length of 20 μm of parts of a height of ±20% about an average line, obtained by a stylus-type surface roughness meter, by an electron beam 3D roughness analyzer.