A high-strength cold-rolled steel sheet having excellent local deformability consisting of: in mass%, C: not less than 0.02% nor more than 0.20%; Si: not less than 0.001%; Mn: not less than 0.01% nor more than 4.0%; P: not less than 0.001% nor more than 0.15%; S: not less than 0.0005% nor more than 0.03%; Al: not less than 0.001%; N: not less than 0.0005% nor more than 0.01%; and O: not less than 0.0005% nor more than 0.01%; in which Si + Al is limited to less than 1.0%, and optionally one type or two or more types of in mass%, Ti: not less than 0.001 % nor more than 0.20%, Nb: not less than 0.001% nor more than 0.20%, V: not less than 0.001% nor more than 1.0%, W: not less than 0.001% nor more than 1.0%, B: not less than 0.0001% nor more than 0.0050%, Mo: not less than 0.001% nor more than 1.0%, Cr: not less than 0.001 % nor more than 2.0%, Cu: not less than 0.001 % nor more than 2.0%, Ni: not less than 0.001 % nor more than 2.0%, Co: not less than 0.0001 % nor more than 1.0%, Sn: not less than 0.0001 % nor more than 0.2%, Zr: not less than 0.0001% nor more than 0.2%, As: not less than 0.0001 % nor more than 0.50%, Mg: not less than 0.0001% nor more than 0.010%, REM: not less than 0.0001% nor more than 0.1%, Ca: not less than 0.0001% nor more than 0.010%, and a balance being composed of iron and inevitable impurities, wherein the area ratio of the metal structure consists of 95% or more bainite and a balance of 5% or less of pro-eutectoid ferrite, pearlite, martensite, and retained austenite, at a sheet thickness center portion being a range of 5/8 to 3/8 in sheet thickness from the surface of the steel sheet, an average value of pole densities of the <011> to <110> orientation group represented by respective crystal orientations of <011>, <110>, <110>, <110>, <110>, <110>, and <110> is 4.0 or less, and a pole density of the <113> crystal orientation is 5.0 or less, and a volume mean diameter of crystal grains in the metal structure is 7 μm or less, wherein to crystal grains of the bainite, a ratio of the crystal grains in which a ratio of a length dL in a rolling direction to a length dt in a sheet thickness direction: dL/dt is 3.0 or less is 50% or more. C: not less than 0.02% nor more than 0.20%; Si: not less than 0.001%; Mn: not less than 0.01% nor more than 4.0%; P: not less than 0.001% nor more than 0.15%; S: not less than 0.0005% nor more than 0.03%; Al: not less than 0.001%; N: not less than 0.0005% nor more than 0.01%; and O: not less than 0.0005% nor more than 0.01%; in which Si + Al is limited to less than 1.0%, and Ti: not less than 0.001 % nor more than 0.20%, Nb: not less than 0.001% nor more than 0.20%, V: not less than 0.001% nor more than 1.0%, W: not less than 0.001% nor more than 1.0%, B: not less than 0.0001% nor more than 0.0050%, Mo: not less than 0.001% nor more than 1.0%, Cr: not less than 0.001 % nor more than 2.0%, Cu: not less than 0.001 % nor more than 2.0%, Ni: not less than 0.001 % nor more than 2.0%, Co: not less than 0.0001 % nor more than 1.0%, Sn: not less than 0.0001 % nor more than 0.2%, Zr: not less than 0.0001% nor more than 0.2%, As: not less than 0.0001 % nor more than 0.50%, Mg: not less than 0.0001% nor more than 0.010%, REM: not less than 0.0001% nor more than 0.1%, Ca: not less than 0.0001% nor more than 0.010%, and