Tensile and Vickers and Rockwell hardness tests were carried out on a number of aluminum wrought alloys. The alloys are classified into the following three groups according as the relation between tensile strength and Vickers hardness Hv: (1) S-group; O, H112, F, T1 and T4 tempered alloys for which if Hv>45, σB=0.40Hv and if Hv<45, σB=0.35Hv, (2) H-group; work-hardened alloys for which σB=0.35Hv-3.0, and (3) T-group; heat-treated alloys except for those in S-group for which σB=0.32Hv and for 6xxx alloys σB=0.30Hv. In Rockwell hardness test, B-scale is appropriate for T-group alloys and F-scale for S- and H-group alloys. A definite chart for converting hardness to tensile strength is also shown.