Abstract: The linear solution always plays a leading role in theory construction.As the present studies on the short-crested waves are involved in the wide wave-current interactions,considering a typical coastal wave condition concerning both obliquely incident waves on and reflected ones off the coast barriers with the strong longshore current influence,a general linear sys tem on finite depth short-crested waves is developed,and the general solution and the special ones in both the deep-andshallow-waters are acquired only to improve the existing linear water wave system and providing a reliable base for the investigations of the nonlinear short-crested waves on wave current interactions.