We report the detection of broad H \alpha emission in three X-ray selected obscured AGNs at z \sim 1–2 . By exploiting the H \alpha width and the intrinsic X-ray luminosity , we estimate their black hole masses , which are in the range 0.1-3 \times 10 ^ { 9 } ~ { } M _ { \odot } . By means of multi-band photometric data , we measure the stellar mass of their host galaxy and , therefore , infer their M _ { BH } / M _ { star } ratio . These are the first obscured AGNs at high-z , selected based on their black hole accretion ( i.e . on the basis of their X-ray luminosity ) , that can be located on the M _ { BH } - M _ { star } relation at high-z . All of these obscured high-z AGNs are fully consistent with the local M _ { BH } - M _ { star } relation . This result conflicts with those for other samples of AGNs in the same redshift range , whose M _ { BH } / M _ { star } ratio departs significantly from the value observed in local galaxies . We suggest that the obscured AGNs in our sample are in an advanced evolutionary stage , have already settled onto the local M _ { BH } - M _ { star } relation , and whose nuclear activity has been temporarily revived by recent galaxy interactions .