The orientation distribution of high order twins is computed from the texture determined from neutron and EBSD measurements on a 70 % cold rolled Fe-36%Ni sample. As experimentally observed, during annealing, the simulated twinned texture tends to become isotropic. Moreover, as experimentally observed and numerically verified, it appears that three twin generations develop after the complete recrystallization. Finally, if it is obvious that both the nucleation (and growth) of all possible orientations of the cold rolling texture and the multiple twinning can contribute to explain the isotropic part formation of the recrystallization texture, and it seems that this second mechanism plays an important role.