The invention provides a production method of a zirconium and zirconium alloy strip coil. The production method comprises the steps that a zirconium or zirconium alloy strip blank is heated in a heating furnace before production and is rolled on a steekle mill or a tandem rolling unit to the thickness that the blank can be transferred to a cold mill to be rolled, and the blank is directly coiled; surface treatment is carried out on a hot-rolling zirconium coil obtained through rolling on a continuous annealing-shot blasting-acid pickling production line, and a zirconium strip obtained after surface treatment is a smooth and clean zirconium strip which is in the metal natural color and free of oxide skin or harmful air suction layers; then a cold mill unit is adopted for carrying out cold rolling on the zirconium strip to obtain a thin strip, and cold rolling is carried out after annealing is carried out in an on-line annealing or vacuum annealing manner in the process of cold rolling; and finally various finished zirconium or zirconium alloy thin strip products of target thickness are obtained in a rolled manner. According to the production method, the cost is low, the product quality is good, and the rate of the finished products is improved by more than 15%; the requirements of nuclear power, chemical engineering and other aspects for thin zirconium materials and zirconium strips for thin-wall zirconium pipe welding can be completely met; and energy saving and consumption reduction are achieved, and high practical value is achieved.