The band structure and interband optical conductivity of Bi 2 CaSr 2 Cu 2 O 8 superconductor in the body-centered tetragonal sub-unit is calculated self-consistently using orthogonalized linear combination of atomic orbitals method. The result shows Bi 2 CaSr 2 Cu 2 O 8 has both semi-metal-like and semiconductor-like features with small band gap and band overlap. The interband optical conductivity shows strong anisotropy between the in-plane and z-direction components. A plasmon frequency at 6 eV is predicted.