Make sure all the wires are properly connected and clean. What did
you replace the starter? Was it the same problem? Did you have
the old starter tested before buying a new one? Like Tyler
mentioned, it just may be the switch. Check the fuses also. When
you turn on the switch, do you hear the solenoid click? Can you get
it to turn over with a jump? If so, check the battery and battery
connections. Most accessories will turn off when the switch is set to
the start position. Do they still do that? If not, it may be the switch.
Can you test the connection at the starter for power when you turn
the switch to start? If you have power to the starter, you have a bad
starter or bad connection. If the solenoid engages, pull the starter
and check if it is making the proper connections to the flywheel. You
may need to put shams on it.