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The globular clusters are probably good targets for dark matter (DM) searchesin $\gamma$-rays due to the possible adiabatic contraction of DM by baryons. Inthis work we analyse the three-year data collected by {\it Fermi} Large AreaTelescope of globular clusters NGC 6388 and M 15 to search for possible DMsignals. For NGC 6388 the detection of $\gamma$-ray emission was reported by{\it Fermi} collaboration, which is consistent with the emission of apopulation of millisecond pulsars. The spectral shape of NGC 6388 is also shownto be consistent with a DM contribution if assuming the annihilation finalstate is $b\bar{b}$. No significant $\gamma$-ray emission from M 15 isobserved. We give the upper limits of DM contribution to $\gamma$-ray emissionin both NGC 6388 and M 15, for annihilation final states $b\bar{b}$, $W^+W^-$,$\mu^+\mu^-$, $\tau^+\tau^-$ and monochromatic line. The constraints arestronger than that derived from observation of dwarf galaxies by {\it Fermi}.

Search for dark matter signals with Fermi-LAT observation of globular clusters NGC 6388 and M 15