The MACE (Major Atmospheric Cherenkov Experiment) is a 21 m diameter γ-ray telescope which is presently being installed at Hanle in Ladakh, India (32° 46′ 46″ N, 78° 58′ 35″ E) at an altitude of 4270 m a.s.l. Once operational, it will become the highest altitude very high energy (VHE) γ-ray telescope in the world based on Imaging Atmospheric Cherenkov Technique (IACT). In the present work, we discuss the sensitivity estimate of the MACE telescope by using a substantially large Monte Carlo simulation database at 5° zenith angle. The sensitivity of MACE telescope is estimated by carrying out the γ-hadron segregation using the Random Forest method. It is estimated that the MACE telescope will have an analysis energy threshold of 38 GeV for image intensities above 50 photoelectrons. The integral sensitivity for point like sources with Crab Nebula-like spectrum above 38 GeV is ~2.7% of Crab Nebula flux at 5 σ statistical significance level in 50 h of observation.