They are falling . . . around. Otherwise they'd keep moving at a constant velocity in a straight line.
There's not much out there to slow them down. If something did decrease their orbital speed, gravity would pull them in closer and in the process accelerate them to the required orbital speed to establish a new stable orbit.
Orbits result as a balance between gravitational acceleration pulling inward and angular momentum aka "centrifugal force", pushing outward.
In the case of the Moon, orbital distance is actually increasing. The rotation of the Earth, being somewhat in line with and in the direction of its orbit is pulling the Moon slightly forward with tidal forces, accelerating its orbital speed and thereby nudging it gradually into a higher orbit.
Golly, I hope we're not wandering to far off topic here . . .
http://en.wikipedia.o...s_of_Moon.27s_gravity