The apparatus comprises a kneading channel (12) slanting downwards from an upstream inlet end (23), which is open to receive curd to be kneaded, to a downstream outlet end (24), which is open to unload the curd. A pair of opposed augers (14, 16) are pivotally supported side-by-side in the kneading channel (12) and are operatively connected to motor means (18) for rotating in opposite directions and moving the curd to the downstream end (24). First stem blowing means (25) are open to the kneading channel (12). A kneading chamber (27) with plunger arms is arranged at the outlet end of the kneading channel (12) for receiving the curd unloaded from the channel.