This paper considers salt water fishing tackles consisting of line, hook, bar float, primary sinker and secondary sinkers. The line with the sinkers and the hook are modeled by a multilink system connected with the float. A new algorithm is proposed to calculate acceleration terms satisfying Newtonian kinematical equations. The computational requirement varies only linearly with the number of links because the algorithm is based on a sweep-out operation on a threefold diagonal matrix with a simple structure. A comparison is made with a well-known Featherstone algorithm that is based on articulated body inertias. Animation results with 22 links subjected to tidal flow and wave produce typical tackle behaviors consistent with expert experience. The animation is useful for design of tackles and discrimination drills of fish hits.