An impl ementat ion of the coherent potent ial approxima tion (CPA) is car ried out with in t he frameworks of th e exact m uffi n-tin orbitals (EMTO ) t heory. Dur ing t he self-consiste nt it erat ions t he Poisson equation is solved using th e sph erical cell approximati on, and th e charge t ransfer between alloy components is t rea ted with in th e screened impurity model. Th e t ot al energy is calculated using t he full charge density (FC D) techniqu e. The FCD-EMTO-CPA meth od is suitable for accura te det ermin ati on of t he electro nic st ruct ure and tot al energy of complete ly random alloys with a substitu t ional disord er on any kind of underlying crystal lattice. The accuracy of t he meth od is demonstrated through t est calculat ions performed on face centered cubic (f cc), bod y centered cubic (bee), and hexagonal close packed (hcp) Cu-Zn bin ary alloys.