By using multi-configuration Dirac-Fock theory and active space approach,we calculate transition energy for 4s-4p of Cu-,Zn-,Ga-and Ge-like gold ions where Breit,QED and nuclear-mass corrections have been considered.Our calculation considers valence-valence correlations,core-valence correlations and core-core correlations and gives the contribution of the three electron correlation effects on the transition energy.On the basis of previous work,most of earlier measurements and calculations focused on less electrons system of low-to medium-Z ions,the objective of this paper is to verify that core-valence correlation is more accurate than valence-valence and core-core correlation in multi-electron system of highly charged high-Z ions as well.