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The structure of the ZnO(10 0) non-polar surface is studied using first-principles slab calculations based on density functional theory(DFT). We find that the uppermost zinc atoms have a significant relaxation towards the bulk 0.328 ? ,and the Zn atoms in the second layer show a significant relaxation away from the bulk 0. 237 (A) ,allowing them to appear as surface atoms. For oxygen atoms a small relaxation 0. 146(A) is found. Which leading to a rotation angle 9. 2° of the Zn-O dimer on the surface. Results in excellent agreement with experiment have been obtained for the geometric and electric structures.