A windscreen wiper device comprising an elastic, elongated carrier element, as well as an elongated wiper blade of a flexible material, which can be placed in abutment with a windscreen to be wiped, which wiper blade includes opposing longitudinal grooves on its longitudinal sides, in which grooves spaced-apart longitudinal strips of the carrier element are disposed, wherein neighbouring ends of said longitudinal strips are interconnected by a respective connecting piece, 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, with the special feature that the connecting device comprises at least two parts provided with protrusion/hole features for detachably connecting the parts together, wherein the first part is retained onto the wiper blade and wherein the second part has an at least substantially U-shaped cross-section at the location of its connection to said first part, wherein each leg of said U-shaped cross-section is allowed to bend outwardly upon insertion of the oscillating arm into said second part for connecting said first and second parts together through a snapping operation.