  The weak interlayer Van Der Waals material \{beta}-Bi2Pd has recently been
established as a strong topological superconductor candidate with
unconventional spin-triplet pairing and Majorana zero modes at vortices. In
this letter, we study the topological characters and the superconducting
pairing, which are still obscure in monolayer \{beta}-Bi2Pd, in light of our
effective theoretical model. We find that the non-Rashba spin-orbital coupling
plays a critical role in realizing and tuning various novel topological
natures. In particular, the spin-triplet p-wave superconducting pairing with
Majorana zero mode is revealed in monolayer \{beta}-Bi2Pd. Our studies deepen
the understanding of topology and superconductivity in monolayer \{beta}-Bi2Pd
and indicate it is a promising platform for achieving low-dimentional
topological superconductivity.
