This is because of the Earth's rotation. As the Earth spins on its axis from west to east, the sky above appears to rotate in the opposite direction, from east to west. This is why the stars seem to rise in the east and set in the west.
Specifically, in the Northern Hemisphere, the stars appear to circle around a point called the North Star (Polaris). This point is directly above the Earth's North Pole and is relatively fixed in the sky. As the Earth rotates, the stars appear to move in a counter-clockwise direction around Polaris.