  We consider an $O(d,d;\mathbb{Z})$ invariant massive deformation of double
field theory at the level of free theory. We study Kaluza-Klein reduction on
$R^{1,n-1} \times T^{d}$ and derive the diagonalized second order action for
each helicity mode. Imposing the absence of ghosts and tachyons, we obtain a
class of consistency conditions which include the well known weak constraint in
double field theory as a special case. Consequently, we find two-parameter sets
of $O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity theories.
