A press section which includes first and second press nips and at least one separate continuously revolving press belt which is routed around each press element of each press nip over a plurality of guide rollers. An upper press belt is led away from the fibrous web after the first press nip. Thereafter the fibrous web is transferred from a lower press belt of the first press nip to an upper press belt of the second press nip. The upper press belt of the second press nip wraps around a vacuum assisted guide roller. Thereafter the lower press belt of the second press nip is brought into contact with the fibrous web via a guide roller, after which the fibrous web travels to the second press nip via a guided path jointly with the two opposite upper and lower press belts of the second press nip.