To provide a method for producing a nonoriented electromagnetic steel sheet having high magnetic flux density.

A slab having a composition containing, by mass, ≤0.05% C, ≤1.5% Si, 0.05 to 1.0% Mn, ≤0.2% P, ≤0.01% S, ≤1.0% Al, and the balance Fe with inevitable impurities is subjected to hot rolling where finishing temperature is controlled to an Ar3 transformation point or above, and is successively subjected to cooling where the average cooling rate from the Ar3 transformation point to 200°C is controlled to >50°C/s, so as to be a hot rolled sheet. The hot rolled sheet is subjected to hot rolled sheet annealing, and is then subjected to cold rolling, so as to be a cold rolled sheet having a prescribed sheet thickness. The cold rolled sheet is next subjected to finish annealing. In this way, a electromagnetic steel sheet having a high magnetic flux density B50 of ≥1.76T is obtained. For further improving its magnetic properties, the average cooling rate from the Ar3 transformation point to 200°C is preferably controlled to ≥200°C/s.