An elevator car arrangement includes an elevator car body including a roof, a bottom and side walls, and an elevator car sling for being guided along vertically extending guide rails. The elevator car sling includes at least a first vertical side support, a second vertical side support and an upper horizontal support, which supports are connected to each other to form the sling. The elevator car body is connected to the elevator car sling such that the elevator car body is supported in the elevator car sling. The elevator car arrangement further includes a connection element for connecting the elevator car body to the elevator car sling such that the connection element is arranged between the roof of the elevator car body and the vertical side support of the elevator car sling, the connection element including a damper for damping vibrations caused by guide rails. A connection element for connecting an elevator car body to an elevator car sling is provided to form the elevator car arrangement.