Let R be a graded Noetherian domain and A a graded Krull overring of R. We show that if h-dim $Rleq2$, then A is a graded Noetherian domain with h-dim $Aleq2$. This is a generalization of the well-know theorem that a Krull overring of a Noetherian domain with dimension $leq2$ is also a Noetherian domain with dimension $leq2$.