The invention relates to a method and a device for separating the excess glass (32) in the production of hollow glass products (12), wherein the method comprises: centring a hollow glass product (12) in a receiving device (10), which is designed to hold the hollow glass (12) and to rotate about a rotational axis in such a way that a separation line (24) along which the excess glass (32) is to be separated from the hollow glass product (12) to be produced is centred in relation to the rotational axis; processing the hollow glass product (12) in a plurality of positions along the separation line (24) by means of a laser beam in order to generate local filaments with a weakened glass structure during a rotation of the hollow glass product (12) about the rotational axis; and introducing energy along the separation line (24) in order to separate the excess glass (32) along the weakened glass structure.