  Using a cryogenic scanning tunneling microscopy, we report the observation of
topologically nontrivial superconductivity on a single material of \beta-Bi2Pd
films grown by molecular beam epitaxy. The superconducting gap associated with
spinless odd-parity pairing opens on the surface and appears much larger than
the bulk one due to the Dirac-fermion enhanced parity mixing of surface pair
potential. Majorana zero modes (MZMs), supported by such superconducting
states, are identified at magnetic vortices. The superconductivity and MZMs
exhibit resistance to nonmagnetic defects, characteristic of
time-reversal-invariant topological superconductors. Our results demonstrate a
simple platform to generate, manipulate and braid MZMs for quantum computation.
