With the observation of new D mesons, the spectrum of the charmed-strange state becomes abundant. We investigated the strong decays of D*_s1(2710)→D_s(1968)+π^0and D*_s1(2710)→D*_s(2112)+π⁰ⁱⁿ the CQM model, and discussed the newly discovered meson D*_s1(2710). Our numerical results suggest that the newly discovered meson belongs to H doublet (0-,1-) and is made up of c and [AKs-], whose spin parity is JP=1- and j^s=1/2. It is very useful to the research of the charm spectroscopy.