  In this paper we study the scalar(tensor) and vector unparticle corrections
for cosmic and black strings. Initially we have considered an static cosmic
string ansatz from which we obtain the solution in terms of first and second
kind Bessel functions. We have also obtained the solution for black string in
the unparticle scenario. We could identify two regimes, namely, a gravity
dominated regime and an ungravity dominated regime. In the gravity dominated
regime the black string solution recovers the usual solution for black strings.
The Hawking temperature was also studied in both regimes and in the ungravity
dominated regime. As in the static and rotating black hole, we found a
fractalization of the event horizon. This points to the fact that
fractalization is a natural consequence of unparticles. Finally, we study the
thermodynamic of the black string in the ungravity scenario by computing the
entropy, heat capacity and free energy. For both cases we find that, depending
on the region of the parameter $d_U$, we can have phase transitions.
