We show the AdS/CFT correspondence between the conformal partial wave and the geodesic Witten diagram with antisymmetric exchange. To this end, we introduce the embedding space formalism for antisymmetric fields in anti-de Sitter. Then, we prove that the geodesic Witten diagram satisfies the conformal Casimir equation and the appropriate boundary condition. Furthermore, we discuss the connection between the geodesic Witten diagram and the shadow formalism by using the split representation of the harmonic function for antisymmetric fields. We also discuss the three-point geodesic Witten diagrams and its extension to the mixed-symmetric tensors.