  We consider the Noether Symmetry Approach for a cosmological model derived
from a tachyon scalar field $T$ with a Dirac-Born-Infeld Lagrangian and a
potential $V(T)$. Furthermore, we assume a coupled canonical scalar field
$\phi$ with an arbitrary interaction potential $B(T,\phi)$. Exact solutions are
derived consistent with the accelerated behavior of cosmic fluid.
