A windscreen wiper device comprising an elastic, elongated carrier element, as well as an elongated wiper blade of a flexible material, the wiper blade comprising a wiper element which can be placed in abutment with a windscreen to be wiped, which wiper blade includes a central longitudinal groove, in which groove a longitudinal strip of the carrier element is disposed, which windscreen wiper device comprises a connecting device for an oscillating arm, wherein the oscillating arm is pivotally connected to the connecting device about a pivot axis near one end thereof, with the special feature that the groove extends in downward direction beneath the longitudinal strip for forming at least two longitudinal hollow channels on opposite sides of the wiping element, the channels each being defined by the longitudinal strip and a bottom of the groove.