In the article, we calculate the hadronic coupling constants (G_{D_2^*Dpi }), (G_{D_{s2}^*DK}), (G_{B_2^*Bpi }), (G_{B_{s2}^*BK}) with the three-point QCD sum rules, then study the two-body strong decays (D_2^*(2460) ightarrow Dpi ), (D_{s2}^*(2573) ightarrow DK), (B_2^*(5747) ightarrow Bpi ), (B_{s2}^*(5840) ightarrow BK), and make predictions to be confronted with the experimental data in the future.
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