A high-lift device track 5 comprising a first track end 6 comprising attachment points for the high-lift device 4, two vertical flanges 16 connected by a horizontal web 17, a set of raceways 10,11,12 for guiding rollers 13 or glide pads, and a gear rack 7 installed between said flanges 16 over a first track segment 18. This first track segment 18 presents an inverted-U, or cross-section. However, between said first track segment 18 and a second track end 20 opposite to said first track end 6, the track 5 comprises a second track segment 21 presenting a depth d between the horizontal web 17 and lower edges 25 of the vertical flanges 16 which decreases towards said second track end 20, so that, at said second track end, the track presents an H cross-section. FIG. 4.