Step 1: Understand geostationary satellites.
A geostationary satellite revolves around the Earth in such a way that it appears stationary relative to an observer on Earth.
For this to happen, the satellite must complete one revolution in the same time taken by the Earth to rotate once about its axis.
Step 2: Use Earth's rotational period.
The Earth completes one rotation in approximately
\[
24\text{ hours}
\]
Therefore, the orbital period of a geostationary satellite must also be
\[
24\text{ hours}
\]
Step 3: Final conclusion.
Hence,
\[
\boxed{24\text{ h}}
\]