Symplectic structure on a covering manifold

Question

How to show that a covering manifold of a symplectic manifold admits a symplectic structure? More precisely, let M be a $2n$-manifold and $(N, \omega)$ be a symplectic 2n-manifold. If there exists a covering $\pi: M\to N$, then $\pi^*\omega$ is a symplectic form on $M$. I don't have a clue how to prove this statement. Any help would be very appreciated.