In the present invention, a non-oriented electromagnetic steel sheet having excellent productivity and high magnetic flux density is obtained inexpensively and stably by a process in which, during manufacturing of a non-oriented electromagnetic steel sheet by a sequence of steps in which a slab having a component composition comprising, in terms of mass%, 0.0050% or less of C, over 3.0% to 5.0% of Si, 0.10% or less of Mn, 0.0010% or less of Al, over 0.040% to 0.2% of P, 0.0040% or less of N, 0.0003% to 0.0050% of S, 0.0015% or more of Ca, and a total of 0.01% to 0.1% of one or both of Sn and Sb, the remainder being Fe and unavoidable impurities, is cast in a continuous casting machine, the slab is heated and subsequently hot rolled, hot-rolled plate annealing is then performed, and after pickling, the final sheet thickness is obtained by a single cold rolling, after which a finishing annealing is performed, in the hot-rolled plate annealing step, the soaking temperature is set to 900DEG C to 1050DEG C and the cooling rate after soaking is set to 5 DEG C/s or greater.