  In this paper we calculate the antiproton production in the annihilation of
tensor dark matter and explore the possibility that the excess of antiprotons
in the range $E_{K}=10-20 ~GeV$ reported by several groups in the analysis of
the AMS-02 Collaboration data is due to this production mechanism. We find that
these contributions improve the fit to the data on the antiproton to proton
ratio for the narrow window $M\in [62.470,62.505] \text{ GeV}$ for the tensor
dark matter mass and $g_s \in [0.98,1.01]\times 10^{-3}$ for the Higgs portal
coupling in the effective theory. These are precisely the range of values
compatible with several experimental constraints, such as dark matter relic
density, limits on the spin-independent dark matter-nucleon cross-section from
XENON1T, indirect detection limits for the annihilation of dark matter into
$\bar{b}b$, $\tau^+ \tau^-$, $\mu^+ \mu^-$ and $\gamma \gamma$, as well as with
the gamma-ray excess at the Milky Way galactic center.
