  We analyze the effects of disorder and quasi-disorder on the ground-state
properties of ultra-cold polar bosons in optical lattices. We show that the
interplay between disorder and inter-site interactions leads to rich phase
diagrams. A uniform disorder leads to a Haldane-insulator phase with finite
parity order, whereas the density-wave phase becomes a Bose-glass at very weak
disorder. For quasi-disorder, the Haldane insulator connects with a gapped
generalized incommesurate density wave without an intermediate critical region.
