As the air is sinking, not rising, no clouds or rain are formed. This is because as the air sinks it warms, meaning it can hold more water.
The absence of fronts means winds may be very light.
Consequently, high-pressure areas are often associated with settled, dry and bright conditions.
In summer, anticyclones bring dry, hot weather. In winter, clear skies may bring cold nights and frost.
In cold conditions, anticyclones may also bring fog and mist. This is because the cold forces moisture in the air to condense at low altitudes.