There has been significant concern in analyzing the structural stability, structural properties, and pressure-induced structural phase transition of refractory metal carbides, RC (R = Ti, Zr, Hf, V, Nb, and Ta), by using the three-body force potential model calculation modified approach. The more accurate description of the interionic spacing (r0) suggests that the interactions considered in the present computation are capable of correctly predicting the structural properties of these materials. In the preset paper, we have investigated the relative stability of the two competitive phases of metal carbides and discussed the possible phase transitions from its parental NaCl (B1) type phase to its most stable CsCl (B2) type phase in the pressure range 344–572 GPa. The computed interionic spacing (r0) and phase transition pressures (PT) are in reasonable agreement with the other reported data.