Laura, have a look inside the cistern and check the large plastic float is dropping right down when the cistern is empty. If not, bend the metal rod by hand to allow it to do so. (MAKE SURE IT WILL MOVE UP AND DOWN FREELY IF YOU DO THIS)
If plastic, call a plumber.
Check the water supply pipe to the cistern to ensure any isolators fitted are opened fully (lever valves in line with pipe, slots in valves in line with pipe, wheel valves with wheel fully anticlockwise)
If this is not of help, you will need to check free flow of water and operation of ballvalve mechanism inside cistern
Ian, March 2007