  In this paper we study black string solutions considering the Lifshitz
anisotropic scaling. We have shown that a new class of asymptotically Lifshitz
solutions can be generated by an Einstein-Maxwell-Dilaton theory with a
cosmological constant. In the limit where we recover conformal scale
invariance, we retrieve the usual black string solution. Furthermore, we
demonstrated that to incorporate the effects of electric charge in the black
string, at least two independent gauge fields coupled to the dilaton field are
necessary. The charged black string solution exhibits new horizons that depend
on the potential in Lifshitz exponent $z$. The stability of these new solutions
is investigated through the thermodynamic analysis of the charged black string.
The temperature, entropy, and heat capacity indicate that these modified black
strings are thermodynamically stable.
