The formation of thin current sheets is a common feature of the late substo
rm growth phase in the magnetotail of the Earth. The location and the struc
ture of the evolving thin current sheet determine the onset and the dynamic
phase of magnetic substorms. To determine the formation and further evolut
ion of thin current sheets in the near-Earth magnetotail, we employ a two-f
luid model of electrons and ions, the Hall-MHD. We start from a two-dimensi
onal tail-equilibrium model and apply a plasma inflow from the lobes to sim
ulate the presubstorm loading process of the tail. Our results confirm rece
nt 2.5-dimensional particle and hybrid simulations which have shown thin cu
rrent sheet formation, with the majority of the new current supported by th
e electrons. The Hall-MHD simulations are extended to a current sheet thinn
ing model with three-dimensional driving: conditions and different magnetic
field boundary conditions. We investigated the changes to the tail magneti
c and current structure brought about by the cross-tail magnetic field comp
onents generated by Hall electric fields. For all these cases, the addition
al current is carried by the electrons, with very small effects of magnetic
field and driving boundary conditions.