Butylperoxy radical (C4H9O2) is recognized today as an important atmospheric intermediate which formed by the oxidation of butane (C4H10), playing a crucial role in the cycling of carbon. This work gives a theoretical investigation of the reaction mechanism, thermodynamic analysis and kinetics of the reactions between HO2 and four isomers (n-, iso-, sec- and tert-Butylperoxy radicals) of C4H9O2, which has been computed using the CCSD(T)/aug-cc-pVDZ//B3LYP/6-311G(d,p) level of theory. As a result, the above four reactions proceed on both singlet and triplet potential energy surfaces have been demonstrated. Additionally, the formation of alkylhydroperoxides and 3O2via triplet hydrogen abstraction from the four reactions are the major reaction channels while other singlet product channels are negligibly small. Besides, rate coefficients for the title reactions were estimated using the transition state theory (TST) over the temperature range 258 – 378 K, and these results exhibit a negative temperature dependence.