AbstractSupposeGis a Lie group acting as a group of holomorphic automorphisms on a holomorphic principal bundleP→X.We show that if there is a holomorphic action of the complexificationGCof G on. X, this lifts to a holomorphic action ofGCon the bundleP→X.Two applications are presented. We prove that given any connected homogeneous complex manifoldG/Hwith more than one end, the complexificationGCofGacts holomorphically and transitively onG/H.We also show that the ends of a homogeneous complex manifoldG/Hwith more than two ends essentially come from a space of the formS/Γ, where Γ is a Zariski dense discrete subgroup of a semisimple complex Lie group S with S and Γ being explicitly constructed in terms o