The invention relates to a manufacture method of cold-rolling non-oriented electrical steel, in particular to a hot rolling method of cold-rolling low-carbon non-oriented electrical steel, comprising a finishing step and a coiling step after the finishing step. At least two passes of rolling are carried out on a plate blank in the finishing step; two phase regions of the austenite and the ferriteof a plate blank have a temperature range with an upper limit lower than 945 DEG C and a lower limit higher than 925 DEG C; and the plate blank is forcefully cooled between two adjacent passes in thefinishing step and has a rolling temperature higher than 945 DEG C in the prior pass and a rolling temperature lower than 925 DEG C in the later pass. The hot rolling method enables a common finishing mill group to be suitable for the production of the cold-rolling low-carbon non-oriented electrical steel, simplifies the control method, decreases the production cost and is beneficial to the production and the popularization of the cold-rolling low-carbon non-oriented electrical steel.