Ortho therphenyl (OTP) is an organic liquid, which has been widely studied experimentally in its supercooled regime due to its ease for glass formation. Temperature variation of the heat capacity at constant pressure (CP) of OTP on cooling and heating shows anomalous behavior of thermodynamic response. For the first time, temperature dependence of the constant pressure heat capacity (CP) is determined by means of the quasi harmonic Debye theory in the present work. Calculated values of CP are compared with experimental values, so as to find out the physical origin of suddern changes of the heat capacity measured from differential scanning calorimetry. The knowledge of the heat capacity of OTP not only provides essential information on its vibrational properties, but also is mandatory for many applications, including the glass transition.