An apparatus for laser treatment of a human eye comprises a source of pulsedlaser radiation, and a control device for controlling a focus of the laserradiation in space and time to generate an incision figure. The incisionfiguredefines a corneal flap, a first auxiliary channel and a second auxiliarychannel.The corneal flap is connected to adjoining corneal tissue in a hinge region,andhas a flap underside parted-off from adjoining corneal tissue by a bedincision.The first auxiliary channel extends from the hinge region to an outer surfaceofthe eye and is adapted to remove gases that develop during the generation ofthe bed incision. The second auxiliary channel extends along an edge of thebed incision, is connected to the first auxiliary channel, and extends beyondthe hinge region. The control device is configured to generate the secondauxiliary channel prior to the bed incision.