A binaural hearing system comprises a first and second hearing aids. The hearing aids each comprises antenna and transceiver circuitry allowing the exchange of audio signals between them. At least one 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. In an embodiment, the spatially filtered signal of the secondary 2-channel beamformer may comprise an estimate of user's own voice. In an embodiment, the spatially filtered signal of the secondary 2-channel beamformer may comprise an estimate of a target signal in the environment. In an embodiment, the inputs to the secondary 2-channel beamformer may be beamformed signals from the first and second hearing aids respectively.