A windscreen wiper device includes 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. Neighboring ends of the longitudinal are interconnected by a respective connecting piece. Also included is a connecting device for an oscillating wiper arm. The connecting piece comprises engaging members engaging around the longitudinal strips, wherein the strips and the connecting piece are slidably connected by means of a snap connection. At least one pin extending in a direction perpendicular to the windscreen to be wiped engages the wiper blade at a location of a hole in one of the longitudinal strips. The pin is arranged to block a longitudinal movement of the wiper blade relative to the strip in a longitudinal direction thereof away from the connecting piece.