Inspired by the peak structure observed by recent DAMPE experiment in e(+)e(-) cosmic-ray spectrum, we consider a scalar dark matter (DM) model with gauged U(1)(Le-L mu) symmetry, which is the most economical anomaly-free theory to potentially explain the peak by DM annihilation in nearby subhalo. We utilize the process chi chi -> Z'Z' -> l (l) over barl'(l) over bar' , where chi, Z', l(()'()) denote the scalar DM, the new gauge boson and l(()'()) = e, mu, respectively, to generate the e(+)e(-) spectrum. By fitting the predicted spectrum to the experimental data, we obtain the favored DM mass range m(chi) similar or equal to 3060(-100)(+80) GeV and Delta m = m(chi) - m(Z') less than or similar to 14 GeV at 68% Confidence Level (C.L.). Furthermore, we determine the parameter space of the model which can explain the peak and meanwhile satisfy the constraints from DM relic abundance, DM direct detection and the collider bounds. We conclude that the model we consider can account for the peak, although there exists a tension with the constraints from the LEP-II bound on m(Z') arising from the cross section measurement of e(+)e(-) -> Z'* -> e(+)e(-).