  We derive the complete set of continuous maximal symmetries for Standard
Model (SM) alignment that may occur in the tree-level scalar potential of
multi-Higgs Doublet Models, with $n > 2$ Higgs doublets. Our results generalize
the symmetries of SM alignment, without decoupling of large mass scales or
fine-tuning, previously obtained in the context of two-Higgs Doublet Models.
