We investigate the orthorhombic phase (Td)({T}_{d}) of the layered transition-metal dichalcogenide MoTe2{\mathrm{MoTe}}_{2} as a Weyl semimetal candidate. MoTe2{\mathrm{MoTe}}_{2} exhibits four pairs of Weyl points lying slightly above (\ensuremath6meV)(\ensuremath{\sim}6\phantom{\rule{0.16em}{0ex}}\mathrm{meV}) the Fermi energy in the bulk band structure. Different from its cousin WTe2{\mathrm{WTe}}_{2}, which was recently predicted to be a type-II Weyl semimetal, the spacing between each pair of Weyl points is found t