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Motivated by the very recent cosmic-ray electron+positron excess observed byDAMPE collaboration, we investigate a Dirac fermion dark matter (DM) in thegauged $L_e - L_\mu$ model. DM interacts with the electron and muon via the$U(1)_{e-\mu}$ gauge boson $Z^{'}$. The model can explain the DAMPE data well.Although a non-zero DM-nucleon cross section is only generated at one looplevel and there is a partial cancellation between $Z^{'}ee$ and $Z^{'}\mu\mu$couplings, we find that a large portion of $Z^{'}$ mass is ruled out fromdirect DM detection limit leaving the allowed $Z^{'}$ mass to be close to twotimes of the DM mass. Implications for $pp \to Z^{'} \to 2\ell$ and $pp \to2\ell + Z^{'}$ , and muon $g-2$ anomaly are also studied.

Leptophilic dark matter in gauged $U(1)_{L_e-L_\mu}$ model in light of DAMPE cosmic ray $e^+ + e^-$ excess