  We investigate the orthorhombic phase (Td) of layered
transition-metal-dichalcogenide MoTe$_2$ as a Weyl semimetal candidate, which
was discovered to be a superconductor in our recent experiment. MoTe$_2$
exhibits four pairs of Weyl points lying slightly ($\sim$ 6 meV) above the
Fermi energy in the bulk band structure. Unlike its cousin WTe$_2$, which was
predicted to be a type-II Weyl semimetal recently, the spacing between each
pair of Weyl points is found to be as large as 4 percent of the reciprocal
lattice in MoTe$_2$ (six times larger than that of WTe$_2$). When projected to
the surface, Weyl points are connected by Fermi arcs, which can be easily
verified by ARPES due to the large Weyl point separation. In addition, we show
that the correlation effect or strain can drive MoTe$_2$ from the type-II to
type-I Weyl semimetal.
