  Triangulum-II, a newly discovered dwarf spheroidal galaxy, is a strong
candidate for the indirect search of dark matter through the detection of
$\gamma$-ray emission that could originate from the pair- annihilation of
weakly interacting massive particles (WIMPs). We here report on the analysis of
almost seven years Fermi Gamma-Ray Space Telescope data of Triangulum-II which
was taken during its all sky survey operation mode. No excess $\gamma$-ray
emission has been detected above 100 MeV from Triangulum-II. We derive the
upper limits on $\gamma$-ray flux assuming both the power-law spectra and the
spectra related to WIMP annihilation. In this work, we have considered several
theoretical WIMP (neutralinos here) models envisioning both thermal and
non-thermal production of WIMPs, and put limits on pair-annihilation
cross-section of WIMPs to constrain the parameter space related to those
theoretical models.
