A theoretical study of the hydrogen peroxide cyclic dimers is presented, analyzing the ab initio quantum-mechanical calculations at the correlated level using Hartree-Fock (HF), and second-order Møller-Plesset theory (MP2). Correction for the basis sets superposition error (BSSE) was taken into account applying the counterpoise procedure. A wide range of basis sets (minimal, double zeta (DZ), triple zeta (TZ), and extended 6-311G(3d,2p) basis set) was employed for the minimum-energy conformation obtained.