Summary: The purpose of this paper is to consider a new hybrid relaxed extragradient method for finding a common element of the set of solutions of a generalized equilibrium problem, the set of fixed points of a finite family of nonexpansive mappings and the set of solutions of variational inequalities for an inverse-strongly monotone mapping in Hilbert spaces. Then, we prove a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm under some suitable conditions. Our results extend and improve the recent results of

*G. Cai* and

*C. S. Hu* [Nonlinear Anal., Hybrid Syst. 3, No. 4, 395–407 (2009;

Zbl 1223.47071)],

*A. Kangtunyakarn* and

*S. Suantai* [Nonlinear Anal., Theory Methods Appl. 71, No. 10 (A), 4448–4460 (2009;

Zbl 1167.47304)] and

*S. Thianwan* [Nonlinear Anal., Hybrid Syst. 3, No. 4, 605–614 (2009;

Zbl 1219.49008)] and many others.