The early-type massive binary MQ Cen (P orb =3.7 d) has been investigated by means of highresolution (R ∼ 48 000) spectral analysis and multiband (Johnson BVRI and Strömgren vby) light curve modeling. The physical parameters of the components have been found to be M 1 = 4.26 ± 0.10 M ⊙ , R 1 = 3.72 ± 0.05 R ⊙ , T eff1 = 16 600 ± 520 K, and M 2 = 5.14 ± 0.09 M ⊙ , R 2 = 7.32 ± 0.03 R ⊙ , T eff2 = 15 000 ± 500 K for the primary and secondary, respectively. The orbital inclination is i = 87.0 ± 0.2 deg. The distance to MQ Cen has been derived to be d = 2 460 ± 310 pc which locates it in the Crux OB1 association. However, the age of MQ Cen (∼ 70 Myr) is higher than the one reported for the Crux OB1 association (∼6 Myr). The derived masses are implying a spectral type of B5 for the primary and B4 for the secondary component. Nevertheless, the secondary component, which is more massive, appears to be cooler than the primary component: It has completed its lifetime on the main-sequence and it is now positioned at the turn-off point of the giant branch, meanwhile the less massive primary component is still staying on the main-sequence.