This paper presents a hybrid A,/spl phi/-/spl Omega/ hybrid finite element-Green's function method for the solution of three-dimensional unbounded eddy current problems. The finite element method is used in the interior region employing the magnetic vector potential A and the electric scalar potential /spl phi/. The Green's function method is applied to the exterior region using the magnetic scalar potential /spl Omega/. This hybrid approach is efficient since it reduces the number of unknowns and subsequently reduces the core memory and computing overhead. To illustrate the formulation, a conducting cube under uniform magnetic field excitation is calculated and the current density is obtained.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>