A hot-rolled steel sheet having a composition comprising, in mass %, C: 0.06 to 0.3%, Si: 0.4 to 2.5%, Mn: 0.6 to 3.5%, P: at most 0.1%, S: at most 0.05%, Ti: 0 to 0.08%, Nb: 0 to 0.04%, a total content of Ti and Nb: 0 to 0.10%, sol.Al: 0 to 2.0%, Cr: 0 to 1%, Mo: 0 to 0.3%, V: 0 to 0.3%, B: 0 to 0.005%, Ca: 0 to 0.003%, REM: 0 to 0.003%, the remainder Fe and impurities, is cold rolled, then heated at an average heating rate of at least 15° C. / sec so that a proportion of an unrecrystallization of a region not transformed to austenite at a time of reaching (Ac1 point+10° C.) is at least 30 area %, and then held for 30 seconds at temperature of at least (0.9×Ac1 point+0.1×Ac3 point) and at most (Ac3 point+100° C.).