In this work, we tentatively assign the charmed mesons DJ(2580), D*J(2650), DJ(2740), D*J(2760), DJ(3000) and D*J(3000) observed by the LHCb collaboration according to their spin, parity and masses, then systematically study their strong decays to ground state charmed mesons plus pseudoscalar mesons with the 3P0 decay model. Based on these studies, we assign the D*J(2760) as the state, the D*J(3000) as the or state, the DJ(3000) as the or state in the D meson family. As a byproduct, we also study the strong decays of the states etc, which will be valuable in searching for the partners of these D mesons.