It doesn't. The Celestial Poles (the projection of the Earth's axis of rotation onto the fixed stars) are in constant motion. Due to the precession of the equinoxes, the poles trace out circles on the celestial sphere, with a period of about 25,700 years.
In our time, the North Celestial Pole just happens to be near (<1° from) Polaris, a fairly bright star. This is a very rare circumstance. It gets closer until 2100 AD after which it will it leave Polaris behind. Even so, the NCP will be within a few degrees of Polaris for hundreds of years into the future.
In a human lifespan, the celestial poles move ~1/257 of their way around the circles they trace through the fixed stars. That's not enough to be easily perceived or notable without instrumentation.