New battery but car will not start.Lights,radio,power windows all work. When key is inserted into ignition and turned, it just makes a clicking sound and will not start. It started a few times over the last three days and then today,nothing.

could be your starter's solenoid.Best to replace starter

sound like problem in the theft security system your ignition key or ignition switch worn out.

Battery good, cables good, all connections clean and tight, no corrosion on battery terminals?
Try to determine if click is from solenoid on the starter or starter relay. Turn the headlights on and watch them while someone turns the key to start. If they get dim, probably the starter-have it tested-even new ones are sometimes bad. If lights don't dim, you will need to check the start circuit. Check for power on the small wire to starter solenoid when key is held in start. If no power there, work back towards the ignition switch. Check the neutral safety switch-should have power in and power out when key held in crank. The ignition switch will have a start wire out of the switch going to the neutral safety switch. It should have power with key in start, the only time the start wire will have power.
Post back with what you find-good luck.

check the ignition switch make sure its powering the jeep

make sure your getting power to wire on starter as you turn the key to start position if not ignition switch could be faulty if you are getting power to starter coud be your starting motor

Not the Key but the ignition itself. Replace teh ignition module where the key is inserted to start the vehicle and that should resolve the issue.

check to make sure yu have 12v at the battery, once you do turn the ignition to start, if nothing, check the fuse and relays that control ignition, if all is good then the click sound is coming from the starter, have the solenoid replace.

If it were mine, I would check to see that there is fuel to the engine and the ignition system is working.

Sounds like starter selanoid, but first make sure battery connections are clean and tight, if sure they are then turn on headlights and try to start if still clicks and lights dim its starter.

Check power distribution panel near battery for blown fuses.