A method for producing non-ageing high tensile strength hot-dip galvanized cold rolled steel sheets having excellent press formability, a tensile strength of more than 35 Kg/mm.sup.2 and a r value larger than 2, and which comprises hot rolling a steel slab consisting of 0.002-0.015% of C, not more than 0.50% of Si, 0.04-1.2% of Mn, 0.03-0.10% of P, 0.02-0.10% and not less than N%.times.4 of Al, 0.01-0.08% and C%.times.3-{C%.times.8+0.020%} of Nb and the remainder being substantially Fe and unavoidable impurities, to obtain a hot rolled coil, in said hot rolling the total reduction rate being at least 90%, the rolling speed in the finishing rolling being at least 40 m/min and the coiling-up temperature being at least 600.degree. C., cold rolling the above-described hot rolled coil in a conventional process to obtain a cold rolled steel strip having a final gauge, subjecting the cold rolled steel strip to a soaking at a temperature of 700.degree.-900.degree. C. for 10 sec-5 min, then cooling the soaked strip at a rate of at least 60.degree. C./min and continuously hot-dip galvanizing the cooled strip.