The stray poloidal magnetic field produced in ITER outside the tokamak is significantly higher than in any present machines. This magnetic field magnetizes the steel rebar reinforcing the building concrete structures enclosing the tokamak. As a result, reinforced structures of the ITER building may produce a substantial magnetic field with the axisymmetric component (toroidal mode number n = 0) affecting the plasma initiation and non-axisymmetric components (“error fields” with n = 1; 2) deteriorating plasma performance. This paper presents an upgraded Magnetic Model of the ITER Tokamak Complex, MMTC-2.2, for assessment of the stray field associated with the reinforced structures. This magnetic model MMTC-2.2 takes into account the CATIA models of the Tokamak Complex Buildings and volumetric fractions of steel for the rebar in the building structures as they were in the design in 2016.