The invention relates to a profiled strip arrangement (18), comprising a profiled strip (10) with a first connecting region (20) for connection to an edge region (22) of a windscreen (12) of a motor vehicle and a second connecting region (38) for connection to a water box cover (14) adjoining the windscreen (12), wherein the first connecting region (20) has a connecting portion (24) for connection to an inner side (36) of the windscreen (12), and wherein the second connecting region (38) has a V- or U-shaped material portion (40) for delimiting a groove-shaped receiving region (42), the receiving region (42) being designed for the latched reception of a latching portion (44) of the water box cover (14), wherein the outer sides (64, 66, 68) of the water box cover (14), the profiled strip (10) and the windscreen (12) are flush with one another and wherein partial layers of the connecting portion (24) and of a bottom portion (46) of the material portion (40) together form a continuous planar base portion (78) of the profiled strip (10), from which protrude the two limbs (48, 50) of the material portion (40).