In this paper, we establish a strong duality theorem for a pair of multiobjective second-order symmetric dual programs. This removes an omission in an earlier result by Yang et al. [X.M. Yang, X.Q. Yang, K.L. Teo, S.H. Hou, Multiobjective second-order symmetric duality with F-convexity, Euro. J. Oper. Res. 165 (2005) 585-591].Nonlinear programming Second-order symmetric duality F-convexity Duality theorems Efficient solution