The invention relates to a production method of a low carbon deep drawing cold rolled steel sheet and provides a production method for producing the low carbon deep drawing cold rolled steel sheet with the conventional equipment. A continuous casting slab has the same components as the 80Al steel and the thickness of the slab is no less than 180 mm. The production method is as follows: the slab is uniformly heated to 1150-1200 DEG C to perform hot rolling, wherein the rough rolling reduction rate of the hot rolling is 80-85%, and the precision rolling reduction rate is 85-95%; and finish rolling is performed at 860-900 DEG C; the obtained slab is forced to be cooled to 530-570 DEG C and then naturally cooled in the air to 510-550 DEG C for sheet coiling; the cold rolling reduction rate is65-85%; and a bell-type annealing furnace is used for annealing, wherein the coiled sheet is uniformly heated at 500-520 DEG C and then is heated at a speed of 25-30 DEG C/h, annealing is performed at a constant temperature of 690-720 DEG C for 20-22 h, and the product is cooled to 130 DEG C along with the furnace and then discharged for air cooling. The whole production method is easy to carry out and has good control performance; and the finished product has good comprehensive performance.