I just went through this with my 1998 Durango, it ended up being the ignition coil. Costs about $37.99 and takes about 20 minutes to change, a very easy fix.
A low or dead battery will have this effect. There is enough juice in the battery to activate the solenoid in the starter (causing the clicking sound), but not enough to turn over the engine. A jump start or a replacement battery may be needed if the battery is no longer capable of holding enough of a charge even when being jumped.
Yes, the clicking is the starter, but there's probably nothing wrong with it. Your battery doesn't have enough juice to turn the starter motor (draws lots of current), but still has enough to turn on the lights and accessories. Try jump starting it or trickle charge the battery.
Check the starter! It happened to my 2000 dodge durango too.
A weak battery. There is not enough voltage to hold the starter solonoid in.
Bad battery or bad battery connection. The click is the starter trying to engage, but lacking the power to turn the motor.
check your battery then the connections if it still wont start try changing the starter solenoid if possible
When you hear a clicking noise is most likely a battery problem however you stated that the battery was replaced so i suggest you check the condition of your cables look for rust or corrosion etc.
If the starter is "clicking" then check the battery to make sure that is has enough juice to turn the starter. If the battery is good. It could be your starter solenoid is bad. Most of these are built into the starter nowadays. You will have to have the starter changed. I am betting on the battery especially if it is older. Another culprit could be your alternator failing to charge your battery.
If there is clicking, that means the car has power from the battery so the altenator and the battery are good. I would suggest that the starter is gone bad. It will eventually grind away to where there is no clicking.
Could be the battery is drained or bad. Could be battery connections at battery and or starter are dirty and or loose. Could be starter solenoid is bad. Could be starter is bad.
either clean and tighten cable connections or get battery tested. if not the battery, it is the solenoid or the starter If it is clicking and not starting at first, but starts after a few tries, its your starter taking a dump. Replace it.
If it is a single click, the problem is either a loose battery cable or a faulty starter relay/solenoid. If the symptom is rapid clicking, the battery is probaly low.
suspect starter relay locate relay and replace temp solution run wire straight to battery from starter make sure in neutral when starting
First check the cables going to the battery and where they connect to the battery and the body of the car and engine and to the starter if all of that is good then I would think that it may be the starter.
Discharged battery.
dead battery bad starter solenoid bad starter loose or corroded battery or starter cables
Bad Battery: the clicking is the starter solenoid relay making contact but the battery is not putting out enough amps to turn the starter