  This article concerns with the existence of multiple positive solutions 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 continuous
function with a global minimum. Using variational method, we prove that for
small enough $\epsilon>0$, the "shape" of the graph of the function $V$ affects
the number of nontrivial solutions.
