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Dark matter (DM) annihilations in the Galaxy may produce high energyneutrinos, which can be detected by the neutrino telescopes, for exampleIceCube, ANTARES and Super-Kamiokande. The neutrinos can also arise fromhadronic interaction between cosmic ray and atmosphere around the Earth, knownas atmospheric neutrino. Current measurements on neutrino flux is consistentwith theoretical prediction of atmospheric neutrino within the uncertainties.In this paper, by requiring that the DM annihilation neutrino flux is less thanthe current measurements, we obtain an upper bound on the cross section of darkmatter annihilation $ < {\sigma v} >$. Compared with previous investigations,we improve the bound by including DM substructure contributions. In our paper,two kinds of substructure effects are scrutinized. One is the substructureaverage contribution over all directions. The other is point source effect bysingle massive sub-halo. We found that the former can improve the bound byseveral times, while the latter can improve the bound by $ 10^1 \sim 10^4$utilizing the excellent angular resolution of neutrino telescope IceCube. Theexact improvement depends on the DM profile and the sub-halo concentrationmodel. In some model, IceCube can achieve the sensitivity of $ < {\sigma v} >\sim 10^{- 26} cm^3 s^{- 1} $.

Constraints on the Dark Matter Annihilations by Neutrinos with Substructure Effects Included