The invention relates to an aquaculture installation (1) and to a method for farming fish (2). A culture tank (6) for the fish (2) is connected via a fluid communication (12) of the culture water (5) to a plurality of containers (22) stacked one above the other, said containers being provided and designed for the cultivation of marine worms (3) and being provided and designed as worm filters (7) for the particulate excretions of the fish (2). The containers (22) are connected to an algae reactor (8) via a fluid communication (12).