It's a common misconception, but the Earth *rotates* on its axis. This rotation takes about 24 hours, which is why we have day and night. Because of this rotation, different parts of the Earth face the Sun throughout the day.
However, there is a place called the synchronous orbit where a satellite can be positioned so that it *always* faces the Earth. This is because the satellite's orbital period is the same as the Earth's rotation period. This is how geostationary satellites, used for communication and weather forecasting, work.