In this paper, three compact dual-polarized millimeter-wave antenna array designs for 5G mobile handset are presented, including an end-fire antenna array, a broadside antenna array and a tilted-beam antenna array. The environmental effects are also considered in the antenna designs. In the validation, these three designed antenna arrays can effectively cover 5G N257 (26.5 GHz −29.5 GHz) and N258 (24.25 GHz −27.5 GHz) frequency bands for both polarizations with different radiation directions. Especially, for the tilted-beam antenna array, the beams of dual polarization are similar with a tilted angle of 45°. For better demonstration, measurement results in the actual environment of mobile handset are provided to effectively validate the proposed designs.