The invention relates to a method and a device for blow-moulding containers from preforms which have been previously heated in a heating section and consist of a thermoplastic material. After being heated, said preforms are transferred to a blowing device in which they are deformed in order to form containers under the action of a blowing pressure inside blow moulds. The blow moulds respectively consist of at least two blow-moulding segments. The preforms are transported together with the blow moulds at least along part of a path of a rotating blow wheel. The blow-moulding segments are braced in relation to each other during at least part of the blow-moulding process. At least one of the blow-moulding segments is pivoted about a rotational axis in order to perform opening and closing movements. Once a blowing station holding the blow-moulding segments is closed, at least one of the blow-moulding segments is then supported, at a distance from the rotational axis and independently from the other blow-moulding segment, in relation to a counter-bearing connected to the blow wheel. The supported blow-moulding segment is at least partially braced in relation to both the counter-bearing and the other blow-moulding segment.