Abstract: In this paper, we discuss the essential component of solution set for set-valued strong vector equilibrium problem with domination structure. In the space M consisting of set-valued strong vector equilibrium problem, the paper uses the lemma of the set-valued strong vector equilibrium problem with domination structure to be mapped to the usco mapping, the essential component of solution set under certain conditions are studied, and a existence theorem of the essential of solution set for set-valued strong vector equilibrium problem with domination structure is obtained.