A continuous casting plant for the continuous casting of a thin strip having a thickness of below 20 mm, consisting of a mold provided with two casting rolls, with a strip-like strand being united from two half-shells and exiting in a vertically downward direction at the nip formed by the casting rolls of said mold, wherein, below the nip a deflecting-supporting means is provided for deflecting the strand emerging vertically from the mold into a roughly horizontal direction, wherein the deflecting-supporting means, as a first guide element of the strip, is provided below the casting rolls, and the deflecting-supporting means has of plate-shaped construction and has a surface supporting the strand over a large area, at least a portion of the deflecting-supporting means being provided with internal cooling.