The invention relates to a method and to a device for the electromagnetic stirring of electrically conductive fluids in the liquid state and/or in the state of onsetting solidification of the fluid, using a rotating magnetic field that is produced in the horizontal plane of a Lorentz force. The aim is to achieve an intensive three-dimensional flow on the inside of the fluid for mixing in the liquid state up to the direct vicinity of solidifying fronts, and to simultaneously ensure an undisturbed, free surface of the fluid. The solution is to change the direction of rotation of the magnetic field rotating in the horizontal plane at regular time intervals in the form of a period duration, wherein the frequency of the directional change of movement of the magnetic field vector is adjusted such that in the state of mixing the liquid fluid a period duration is adjusted between two directional changes of the magnetic field during a time interval as a function of the adjustment time with the condition (I) 0.5·ti.a