A binaural hearing system comprises first and second hearing aids, each comprising antenna and transceiver circuitry allowing the exchange of audio signals between them and a BTE-part adapted for being located at or behind the external ear (pinna) of the user and comprising front and rear input transducers providing respective front and rear electric input signals. Each of the hearing aids comprises primary and secondary adaptive 2-channel beamformers each providing a spatially filtered signal based on first and second beamformer-input signals. The primary and secondary 2-channel beamformers are coupled in a cascaded structure. The inputs to the primary 2-channel beamformers are, locally generated, front and rear electric input signals. The inputs to the secondary 2-channel beamformer may be beamformed signals from the first and second hearing aids respectively. The spatially filtered signal of the secondary 2-channel beamformer may comprise an estimate of a target signal in the environment of the user.