We construct time reversal invariant topological superconductors andsuperfluids in two and three dimensions which are analogous to the recentlydiscovered quantum spin Hall and three-d $Z_2$ topological insulatorsrespectively. These states have a full pairing gap in the bulk, gaplesscounter-propagating Majorana states at the boundary, and a pair of Majoranazero modes associated with each vortex. We show that the time reversal symmetrynaturally emerges as a supersymmetry, which changes the parity of the fermionnumber associated with each time-reversal invariant vortex. In the presence ofexternal T-breaking fields, non-local topological correlation is establishedamong these fields, which is an experimentally observable manifestation of theemergent supersymmetry.