A device for conveying products, comprising successive carrier units and comprising conveying means for conveying the carrier units in a conveying direction along a conveying path, wherein the conveying means comprise two guide elements (2a, 2b) extending side by side along the conveying path for supporting the successive carrier units, wherein the conveying path comprises at least horizontal bends, the carrier units each comprising: - a chassis (3; 103) comprising a central longitudinal girder (3a; 103a) extending in the conveying direction and a cross girder (3b; 103b) extending transversely to the conveying direction, which is provided at the location of or at least near an end of the longitudinal girder (3a; 103a) and which is connected thereto, - a respective running wheel (6; 106) rotatably provided on the cross girder (3b; 103b) on either side of the longitudinal girder (3a; 103a) for supporting the carrier unit on a respective guide element of the guide elements (2a, 2b) and for enabling the carrier unit to roll along the conveying path, - a respective guide wheel (4; 104) rotatably provided on the cross girder (3b; 103b) on either side of the longitudinal girder (3a; 103a) for guiding the carrier unit in the transverse direction along a respective guide element of the guide elements (2a, 2b) during movement of the carrier unit along the conveying path, - a support member supported by the chassis (3; 103), which comprises a supporting surface for supporting at least one product, characterised in that at least one guide wheel of the respective guide wheels (4; 104) provided on either side of the longitudinal girder (3a; 103a) is provided on the cross girder (3b; 103b) in such a manner that the guide wheel (4; 104) is movable to and fro in the transverse direction relative to the chassis (3; 103) and bears against the respective guide element (2a, 2b) under spring tension, wherein the chassis (3; 103) of the carrier unit is provided with at least one stop element for each one of the aforesaid guide wheels (4; 104) that are movable in the transverse direction, which stop element comprises a damper (11; 111) and functions to limit movement in the transverse direction of said guide wheel (4; 104). - a chassis (3; 103) comprising a central longitudinal girder (3a; 103a) extending in the conveying direction and a cross girder (3b; 103b) extending transversely to the conveying direction, which is provided at the location of or at least near an end of the longitudinal girder (3a; 103a) and which is connected thereto, - a respective running wheel (6; 106) rotatably provided on the cross girder (3b; 103b) on either side of the longitudinal girder (3a; 103a) for supporting the carrier unit on a respective guide element of the guide elements (2a, 2b) and for enabling the carrier unit to roll along the conveying path, - a respective guide wheel (4; 104) rotatably provided on the cross girder (3b; 103b) on either side of the longitudinal girder (3a; 103a) for guiding the carrier unit in the transverse direction along a respective guide element of the guide elements (2a, 2b) during movement of the carrier unit along the conveying path, - a support member supported by the chassis (3; 103), which comprises a supporting surface for supporting at least one product,