(source: http://www.weatherquesting.com/hurricane-spin.htm)
A hurricane is a system of violent thunderstorms with high winds circulating about a central low-pressure area, called the eye. Air pressure flows from higher pressure towards lower pressure, although not in a straight line because the Earth’s surface spins at different speeds (faster at the equator, slower near the poles); instead, it spirals inwards (see Figure 1).
In the Northern Hemisphere for example, higher-pressure areas from the north, west, east and south will move towards a low pressure centre (L in the above diagram).
The air to the north moves eastward slower than the low-pressure area while the air to the south moves faster than L. The different speeds cause the air to circulate counter-clockwise about the low.