  In this article we use the variational method developed by Szulkin
\cite{szulkin} to prove the existence of a positive solution for the following
logarithmic Schr\"{o}dinger equation $$ \left\{ \begin{array}{lc}
-{\epsilon}^2\Delta u+ V(x)u=u \log u^2, & \mbox{in} \quad \mathbb{R}^{N}, \\
%u(x)>0, & \mbox{in} \quad \mathbb{R}^{N} \\ u \in H^1(\mathbb{R}^{N}), & \; \\
\end{array} \right. $$ where $\epsilon >0, N \geq 1$ and $V$ is a saddle-like
potential.
