A windscreen wiper device comprising an elastic, elongated carrier element (4), as well as an elongated wiper blade o(2) f a flexible material, which can be placed in abutment with a windscreen to be wiped, which wiper blade is of the flat blade type and includes at least one longitudinal groove (3), in which groove a longitudinal strip (4) of the carrier element is disposed, which windscreen wiper device comprises a connecting device (5) for an oscillating arm (6), wherein the oscillating arm is pivotally connected to the connecting device about a pivot axis near a free end thereof, with the interposition of a joint part (7), wherein the oscillating arm has an at least substantially U-shaped cross-section at the location of its connection to the joint part, and wherein the joint part is positioned at least substantially within the U-shaped cross-section of the oscillating arm, with the special feature that the oscillating arm and the joint part are interconnected by introduction of the joint part between legs of the U-shaped cross-section of the oscillating arm in longitudinal direction of the wiper blade, wherein an end side of the joint part facing towards the free end of the oscillating arm closes the U-shaped cross-section thereof from the outside.