We use the Markov Chain Monte Carlo method to investigate a global constraints on the modified Chaplygin gas (MCG) model as the unification of dark matter and dark energy from the latest observational data: the Union2 dataset of type supernovae Ia (SNIa), the observational Hubble data (OHD), the cluster X-ray gas mass fraction, the baryon acoustic oscillation (BAO), and the cosmic microwave background (CMB) data. In a flat universe, the constraint results for MCG model are, b h 2 = 0.02263 +0.00184 −0.00162 (1σ ) +0.00213 −0.00195 (2σ ), B s = 0.7788 +0.0736 −0.0723 (1σ ) +0.0918 −0.0904 (2σ ), α = 0.1079 +0.3397 −0.2539 (1σ ) +0.4678 −0.2911 (2σ ), B = 0.00189 +0.00583 −0.00756 (1σ ) +0.00660 −0.00915 (2σ ), and H 0 = 70.711 +4.188 −3.142 (1σ ) +5.281 −4.149 (2σ ).Keywords Modified Chaplygin gas (MCG) · Unification of dark matter and dark energy