In the view of the experimentally confirmed existence of the a2(1325), f2(1525), f2(1270) and K2*(1430), which are the ground tensor meson 13P2 members, through combining the Regge trajectory and meson mass mixing matrix, we investigate the assignment of the first radial excitation of tensor meson. We suggest that the states f2(1810) and f2(2010) should be the candidates of this assignment. Moreover, some information about decaying of f2(1810) and f2(2010), which serve as pseudoscalar mesons, are presented. The results should be tested in the experiment in the future.