  In this paper, we consider the normalized ground state solution for the
following biharmonic Choquard type problem \begin{align*}
  \begin{split}
  \left\{
  \begin{array}{ll}
  \Delta^2u-\beta\Delta u=\lambda u+(I_\mu*F(u))f(u),
  \quad\mbox{in}\ \ \mathbb{R}^4,
  \displaystyle\int_{\mathbb{R}^4}|u|^2dx=c^2,\quad u\in H^2(\mathbb{R}^4),
  \end{array}
  \right.
  \end{split}
  \end{align*} where $\beta\geq0$, $c>0$, $\lambda\in \mathbb{R}$,
$I_\mu=\frac{1}{|x|^\mu}$ with $\mu\in (0,4)$, $F(u)$ is the primitive function
of $f(u)$, and $f$ is a continuous function with exponential critical growth in
the sense of the Adams inequality. By using a minimax principle based on the
homotopy stable family, we obtain that the above problem admits at least one
ground state normalized solution.
