  Monolayer molybdenum disulfide (MoS2) has a honeycomb crystal structure. We
consider the triangular sublattice of molybdenum atoms and introduce a simple
tight-binding Hamiltonian for studying the phase transition and topological
superconductivity in MoS2 under uniaxial strain. It is shown that spin-singlet
p+ip wave phase is a topological superconducting phase which possesses nonzero
Chern numbers. When the chemical potential is bigger (smaller) than the
spin-orbit coupling (SOC) strength the Chern number is equal to four (two) and
otherwise it is equal to zero. Also, it is shown that, when the
superconductivity gap is smaller and the chemical potential is bigger than the
SOC strength, the zero energy Majorana states exist. Finally, we show the
topological superconducting phase is preserved under uniaxial strain.
