We report micromagnetic simulation of spin transfer torque (STT) switching of a thin elliptical disc made of full-Heusler Co2FeAl0.5Si0.5 alloy. The STT results in switching the direction of initial magnetization of the disc to a new state based on the spin-polarization factor ( ) of the material and magnitude of current density (J) applied. The value of J required for magnetization switching need to be reduced in the order of 10 6 A/cm 2 . In our simulation we obtained 3 × 10 5 A/cm 2 as the critical current density (Jc) required for complete magnetization switching of the disc. We analyzed the effect of on magnetization switching time by reducing the value of by 0.10 from the actual value of 0.76. The decrement in results in the increment of time taken to switch the direction of magnetization. The change in switching time for variable disc thickness was also studied. This simulation result holds a key factor in the study of STT switching in spin-valve nanopillar.