Magnesium diboride with T c = 39 K is a record breaking compound among s-p metals and alloys. Many experiments performed on magnesium diboride suggest that there are two superconducting gaps. Considering a multiband model Hamiltonian with intra- and inter band pair transfer interactions, we have derived the normal and anomalous one-particle green’s function and self consistent equations for superconducting order parameter ( Δ ) using green’s function technique and equation of motion method. The study of electronic specific heat is also pr esented. The agreement between theoretical and experimental results for electronic sp ecific heat is quite satisfactory.