In this contribution, we calculate the spin-dependent ballistic and coherent transport through epitaxial Fe/ZnSe (0 0 1) simple and double magnetic tunnel junctions with two different interface terminations: Zn-terminated and Se-terminated. The electronic structure of the junctions is modeled by a second-nearest neighbors spd tight-binding Hamiltonian parametrized to ab initio calculated band structures, while the conductances and the tunneling magnetoresistance are calculated within Landauer's formalism. The calculations are done at zero bias voltage and as a function of energy. We show and discuss the influence of the interface structure on the spin-dependent transport through simple and double tunnel junctions.