We report infrared reflectivity spectra for a new correlated cupric oxide system Sr 2 Cu(Re 0.69 Ca 0.31 )O y with y ∼ 0.6 at several temperatures ranging between 8 and 380 K.The reflectivity spectrum at 300 K comprises of several optical phonons. A couple of residual bands located around 315 and 653 cm -1 exhibit exceptionally large intensity as compared to the other ones. The overall reflectivity spectrum lifts up slightly with increasing temperature. The energy and damping factor of transverse-optical phonons are determined by fitting the imaginary dielectric constant 2 ε by Lorentz oscillator model and discussed as a function of temperature in terms of lattice anharmonicity.