The invention relates to a conveying system for moving containers (14), the conveying system (4) comprising an inclined track (8) and a conveying device (24), where the track (8) has an container inlet (11) at the bottom (12) and an container outlet (15) at the top (16) and where the conveying device (24) is arranged to travel down (R) the track (8) and comprises a container moving unit (54) which after passage below a container (14) moves the container (14) one step up (L) the track (8), the conveying device (24) thus moving one container (14) at a time one step up (L) the track (8) during the downward (R) travel of the conveying device (24). The invention also relates to a tower structure (2) comprising a container conveying system (4), and a method for conveying containers (14) with a conveying system (4).
