Using variational methods, we establish existence of multi-bump solutions for the following class of problems
$$\begin{aligned} \left\{ \begin{array}{l} \Delta ^2 u +(\lambda V(x)+1)u = f(u), \quad \text{ in } \quad \mathbb {R}^{N},\\ u \in H^{2}(\mathbb {R}^{N}), \end{array} \right. \end{aligned}$$
where
\(N \ge 1\),
\(\Delta ^2\) is the biharmonic operator,
f is a continuous function with subcritical growth,
\(V : \mathbb {R}^N \rightarrow \mathbb {R}\) is a continuous function verifying some conditions and
\(\lambda >0\) is a real constant large enough.