In a flexible connection arrangement for two pipe portions having a metallic bellows which is connected axially on either side in a gastight manner with connection pieces, the sides of the connection pieces facing the bellows are provided with radially widened end portions. Also provided are a damping insert, which extends coaxially relative to the bellows a along its length and is in a working connection therewith, and heat protection device for the bellows acting in the radially inward direction. The damping insert encloses the bellows radially outwardly such that the turns of the bellows contact the damping insert. The lateral end regions of the damping insert are held in the widened end portions without being fastened thereto and are supported radially outwardly by the latter. The connection pieces are connected with one another via a spring which surrounds the damping insert radially outwardly. The heat protection means are formed by a pipe segment which extends within the bellows coaxially relative to the bellows at a radial distance from the latter and which is fastened to the connection piece located in the front as viewed in the direction of flow.