A cold-rolled steel sheet for deep drawing having an improved bake hardenability is disclosed, which comprises 0.005-0.015 wt% of C, not more than 1.0 wt% of Si, not more than 1.0 wt% of Mn, not more than 0.15 wt% of P, 0.0005-0.10 wt% of Al, not more than 0.003 wt% of S and not more than 0.004 wt% of N provided that S+N is not more than 0.005 wt%, and Ti satisfying 1.ltoreq.Ti*/C.ltoreq.20, in which Ti* (%)=Ti(%)-48/14N(%)-48/32S(%). Such a cold-rolled steel sheet is obtained by continuously annealing the steel sheet after the cold rolling, provided that a residence time over a temperature region above recrystallization temperature is within 300 seconds.