Atmospheric pressure in relationship with clouds height?

Atmospheric pressure has nothing to do with the cloud height.But,the chances for the formation of radiation fog(fog is nothing but cloud on the ground ) are more when there is a high-pressure area.Clear skies,calm wind ,surface inversion and sufficient moisture in the air are the necessary conditions for the formation this type of fog.Surface inversion,light wind and clear sky are possible over a high pressure area.Otherwise, there is no relationship between the two particularly at higher levels.