A method for producing a steel sheet having a workability as expressed by tensile strength (TS/MPa) times elongation (El/%) of TS × El ≥ 24000, when evaluated by taking a JIS No. 5 tensile test piece in a direction 90° with respect to the rolling direction and performing a tensile test according to JIS Z 2241 at a constant crosshead speed of 10 mm/min, said method comprising: an annealing step of annealing a steel sheet containing, in terms of % by mass, C: 0.03 to 0.35%, Si: 0.01 to 0.50%, Mn: 3.6 to 8.0%, Al: 0.001 to 1.00%, P ≤ 0.10%, S ≤ 0.010%, optionally at least one element selected from B: 0.001 to 0.005%, Nb: 0.005 to 0.05%, Ti: 0.005 to 0.05%, Cr: 0.001 to 1.0%, Mo: 0.05 to 1.0%, Cu: 0.05 to 1.0%, Ni: 0.05 to 1.0%, Sn: 0.001 to 0.20%, Sb: 0.001 to 0.20%, Ta: 0.001 to 0.10%, W: 0.001 to 0.10%, and V: 0.001 to 0.10%, and the balance being Fe and unavoidable impurities, wherein annealing is conducted inside an annealing furnace in an atmosphere containing nitrogen and 1 vol% or more and 50 vol% or less of hydrogen under a condition under which a dew point of the atmosphere in a temperature zone of 550°C or higher and A°C or lower, wherein A is a particular value that satisfies 600 ≤ A ≤ 750, inside the annealing furnace is controlled to -40°C or lower, the dew point is higher than -40°C in zones other than the zone in which the dew point is to be controlled to -40°C or lower, and the temperature achieved in the annealing step is held for 10 to 100 seconds, and an electrolytic pickling step of electrolytically pickling the steel sheet that has been subjected to the annealing step, by performing alternating current electrolysis at a current density of 1 A/dm 2 or more in an aqueous solution containing sulfuric acid at a temperature of 40°C or higher and 70°C or lower. an annealing step of annealing a steel sheet containing, in terms of % by mass, C: 0.03 to 0.35%, Si: 0.01 to 0.50%, Mn: 3.6 to 8.0%, Al: 0.001 to 1.00%, P ≤ 0.10%, S ≤ 0.010%, optionally at least one element selected from B: 0.001 to 0.005%, Nb: 0.005 to 0.05%, Ti: 0.005 to 0.05%, Cr: 0.001 to 1.0%, Mo: 0.05 to 1.0%, Cu: 0.05 to 1.0%, Ni: 0.05 to 1.0%, Sn: 0.001 to 0.20%, Sb: 0.001 to 0.20%, Ta: 0.001 to 0.10%, W: 0.001 to 0.10%, and V: 0.001 to 0.10%, and the balance being Fe and unavoidable impurities, wherein annealing is conducted inside an annealing furnace in an atmosphere containing nitrogen and 1 vol% or more and 50 vol% or less of hydrogen under a condition under which a dew point of the atmosphere in a temperature zone of 550°C or higher and A°C or lower, wherein A is a particular value that satisfies 600 ≤ A ≤ 750, inside the annealing furnace is controlled to -40°C or lower, the dew point is higher than -40°C in zones other than the zone in which the dew point is to be controlled to -40°C or lower, and the temperature achieved in the annealing step is held for 10 to 100 seconds, and an electrolytic pickling step of electrolytically pickling the steel sheet that has been subjected to the annealing step, by performing alternating current electrolysis at a current density of 1 A/dm 2 or more in an aqueous solution containing sulfuric acid at a temperature of 40°C or higher and 70°C or lower.