A door suspension has a compact structure, in which first door rollers run in contact with a lower rail, and are rotatably supported to a first door roller supporting member that suspends a door; second door rollers are rotatably supported to swing members swingably connected to the first door roller supporting member, and are provided so as to be capable of coming into contact with an upper rail; a drive connection portion holds the door and connects the door to an open-close drive mechanism; and an elastic connection mechanism includes an elastic portion capable of changing the relative positions of the second door rollers and the drive connection portion, and connects the swing members to the drive connection portion. The second door rollers are installed between the first door rollers on the door leading end side and the door trailing end side.