The invention relates to a wasp-capturing device for use in apiaries, which comprises a mesh or grid enclosure or covering (1) that covers the apiary from above, occupying at least the area located in front of the beehives and bordering the entrance holes thereof, but without completely closing the apiary, since the covering does not reach the ground on all sides. The covering mesh (1) comprises holes of a size sufficient to allow the passage therethrough of the bees but prevent the passage of Asian wasps. The device further comprises at least one collecting element (2) for gathering the wasps, which comprises a directing ramp (3) for directing the insects towards a selecting chamber (4) through an entrance hole (8) having a constricted configuration, and at least one trapping tank (6) with access from the selecting chamber (4) through a hole (5).