Here's why:
* Weight: Air, like all matter, has weight due to gravity.
* Column: The air above a surface forms a column that extends all the way to the top of the atmosphere.
* Force: The weight of this column of air exerts a downward force on the surface.
* Pressure: Pressure is defined as force per unit area. Since the weight of the air column acts over the area of the surface, we call this force air pressure.