The analysis of current distribution in a solidly modeled coil is very important for accurate of electric machines such as deflection yoke. In general, Modeling every coils is nearly impossible for analyzing magnetic field using the 3-D finite element method, so solidly modeled coil is usually used. Some methods have been developed for analyzing current distribution, but these methods have fatal disadvantages. The main disadvantages are that the methods cannot be applied to an arbitrary shaped coil and that they yield numerical errors. In this paper, a novel method for resolving the problems mentioned above is proposed. The new method is verified by the application to a test model and it shows a very accurate result.