A second stage cyclone dipleg termination device for cyclones that operate under conditions in which the pressure in the top of the cyclone dipleg is lower than the external pressure where fine particulate matter is collected and discharged. The second stage cyclone dipleg termination device operates in a separator vessel (2) or a vessel of the regenerator of a fluid catalytic cracking (FCC) converter to reverse the pressure conditions commonly found in this type of equipment. One end of a cyclone dipleg (7) is joined to a collector vessel (11), in such a way that a portion of the dipleg (7) enters into the inside of the collector vessel (11). The end of the dipleg (7) is connected to the conventional, normally used sealing device (17) in second stage cyclone (4) diplegs (7). The collector vessel (11), in turn, has on its bottom an outlet in the form of the dipleg (14). On the inside of this outlet an injector device is introduced (16) through which a fluid under high pressure is discharged, associated with a "venturi" type nozzle (15), which moves or drags the particulate matter discharged by the dipleg (7) of the cyclone (4) through the sealing valves (17), inside the collector vessel (11) the exterior of the collector vessel (11).