On the basis of the first-principles techniques, we perform the structure prediction for MoB2. Accordingly, a new ground-state crystal structure WB2 (P6(3)/mmc, 2 fu/cell) is uncovered. The experimental synthesized rhombohedral R (3) over barm and hexagonal AlB2, as well as theoretical predicted RuB2 structures, are no longer the most favorite structures. By analyzing the elastic constants, formation enthalpies, and phonon dispersion, we find that the WB2 phase is 20 thermodynamically and mechanically stable. The high bulk modulus B, shear modulus G, low Poisson's ratio v, and small B/G ratio are benefit to its low compressibility. When the pressure is 10 GPa, a phase transition is observed between the A WB2-MoB2 and the rhombohedral R (3) over barm MoB2 phases. By analyzing the density of states and electron density, we find that the strong, covalent is formed in MOB2 compounds, which contributes a great deal to its low compressibility. Furthermore, the low compressibility is also correlated with the local buckled structure.