Vehicular communication is gaining huge attention among researchers and industrialists due to its enormous capability in traffic management and infotainment solutions. IEEE 802.11p standard is established to achieve the objectives of vehicular communication by providing vehicle-to-vehicle and vehicle-to-infrastructure communication. Vehicular ad-hoc network (VANET) scenario is highly mobile and time varying in nature. Precise channel estimation is challenging in such scenario which impacts the robust execution of the vehicular communication. In the previous work for spectral temporal averaging (STA) channel estimation fixed values of averaging parameters (α & β) have been chosen with acceptable loss. To resolve this issue curve fitting based optimization technique has been implemented in this work. Curve fitting determines the suitable value of the parameters from the set of given values for respective channel conditions. The simulation results demonstrate that the propounded method is more superior to the earlier channel estimation schemes where fixed values of averaging parameters have been chosen in each channel scenarios. This is due to the curve fitting optimization which enhances the dependency of α & β values on packet error rate (PER) equation and eventually on the channel conditions. The proposed method is examined deeply in multiple scenarios with different sets of parameters to test the strength and robustness of the suggested work.