  Four-dimensional ${\cal N}=2$ gauged STU supergravity is a consistent
truncation of the standard ${\cal N}=8$ gauged $SO(8)$ supergravity in which
just the four $U(1)$ gauge fields in the Cartan subgroup of $SO(8)$ are
retained. One of these is the graviphoton in the ${\cal N}=2$ supergravity
multiplet and the other three lie in three vector multiplets. In this paper we
carry out the analogous consistent truncation of the newly-discovered family of
$\omega$-deformed ${\cal N}=8$ gauged $SO(8)$ supergravities, thereby obtaining
a family of $\omega$-deformed STU gauged supergravities. Unlike in some other
truncations of the deformed ${\cal N}=8$ supergravity that have been
considered, here the scalar potential of the deformed STU theory is independent
of the $\omega$ parameter. However, it enters in the scalar couplings in the
gauge-field kinetic terms, and it is non-trivial because of the minimal
couplings of the fermion fields to the gauge potentials. We discuss the
supersymmetry transformation rules in the $\omega$-deformed supergravities, and
present some examples of black hole solutions.
