Abstract: Sealing device for an enclosure (E1, E2) of a turbine engine (1) formed by an assembly of juxtaposed rotating and/or static bodies, the sealing device comprising at least one brush seal (10) having a brush body (101), carried by at least one first member (11), and bristles (102) extending from said brush body and arranged so as to rub against at least one second member (12) rotatable relative to the first member, so as to produce a pressure difference between the inside of said enclosure and its outer environment (E3), characterised in that said device further comprises a labyrinth-type seal (6), said labyrinth being positioned in series with said brush seal between the inside of said enclosure and its outer environment.