  We study glide protected topological (GSPT) phases of interacting bosons and
fermions in three spatial dimensions certain on-site symmetries. They are
crystalline SPT phases, which are distinguished from a trivial product state
only in the presence of non-symmorphic glide symmetry. We classify these GSPT
phases with various on-site symmetries such as $U(1)$ and time reversal, and
show that they can all be understood by stacking and coupling two-dimensional
short-range-entangled phases in a glide-invariant way. Using such a coupled
layer construction we study the anomalous surface topological orders of these
GSPT phases, which gap out the two-dimensional surface states without breaking
any symmetries. This framework is demonstrated in many examples, including the
non-symmorphic topological insulator with "hourglass fermion" surface states.
