  We examine contributions to the muon dipole moment $g-2$ from a 3-form field
$\Omega$, which naturally arises from many fundamental theories, such as the
string theory and the hyperunified field theory. In particular, by calculating
the one-loop Feynman diagram, we have obtained the leading-order
$\Omega$-induced contribution to the muon $g-2$, which is found to be finite.
Then we investigate the theoretical constraints from perturbativity and
unitarity. Especially, the unitarity bounds are yielded by computing the
tree-level $\mu^+\mu^-$ scattering amplitudes of various initial and final
helicity configurations. As a result, despite the strong unitarity bounds
imposed on this model of $\Omega$, we have still found a substantial parameter
space which can accommodates the muon $g-2$ data.
