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This paper gives a coordination method for two biomimetic robotic fish in transporting box-like object task. To simplify the difficulty of path planning and action decision when a fish is moving towards the object, a situated-behaviour design method is employed to divide the environment into a set of complete and exclusive situations. For each situation, a specific behaviour is designed. On dealing with the synchronisation and the object orientation control problems in the particular underwater environment, fuzzy logic method is adopted for motion planning of the fish. Experimental results of the box-pushing task performed by two robotic fish validate the effectiveness of the proposed method.