The method for controlling the progression of a fluid, from upstream to downstream, in a microfluidic component comprising for example a plurality of microchannels each comprising a plurality of successive reaction or detection zones and a plurality of passive valves, controls the progression of the fluid in the microchannels by controlling the increase of a pressure difference between upstream and downstream of the component. The method controls the pressure difference increase discontinuously in the form of enabling pulses so as in particular to synchronize passing of the corresponding passive valves of the microchannels. The pressure difference is advantageously adjusted to a zero value between two successive enabling pulses.