A method of producing a cold-rolled deep drawing steel sheet having excellent strain age hardenability comprising heating a steel raw material to 950° C. or more, roughly rolling the raw material so that the finisher delivery temperature is Ar3 to 1000° C., finish-rolling the material while lubricating it in the temperature region of 600° C. to Ar3, coiling the rolled sheet in which the total reduction by rolling starting from rough rolling to finish rolling is 80% or more, recrystallizing and annealing the hot-rolled sheet, cold-rolling the rolled sheet with a rolling reduction of 60 to 95%, and then recrystallizing and annealing the resultant cold-rolled sheet, wherein the steel-raw material has a composition, by mass %, comprising:
- C:
- less than 0.01%;
- Si:
- 0.005 to 1.0%;
- Mn:
- 0.01 to 1.5%;
- P:
- 0.1% or less;
- S:
- 0.01% or less;
- Al:
- 0.005 to 0.030%;
- N:
- 0.005 to 0.040%;
- and
- at least one of the following:
- B:
- 0.0003 to 0.0030%;
- Nb:
- 0.005 to0.050%;
- Ti:
- 0.005 to0.070%;
- and
- V:
- 0.005 to 0.10%;
- wherein N/(Al+Nb+Ti+V+B) is 0.30 or more.