According to the inventive method, the power consumed on an electric grid (10), by preselected consumers (42, 44, 46, 48, 50, 52) being able to accept a predetermined decrease in power over a predetermined time range, is regulated. This method comprises the following successive steps: sending a control entity, regularly and by each preselected consumer (42, 44, 46, 48, 50, 52), a message (M1) containing the power consumed by said preselected consumer (42, 44, 46, 48, 50, 52); using the control entity (60) to compute a maximum power reduction value for all of the preselected consumers (42, 44, 46, 48, 50, 52) and a maximum duration of that power reduction; transmitting, using the control entity (60) and to a grid manager (62), computed values and maximum power durations; and sending, from the grid manager (62) to the control entity (60), a command order (79) commanding a power reduction for a selected duration.