I have a new battery for my car and it will not start crank just click.The car has very low mileage.

Without amp rating on charger let's move on to other items to look at.
Are the connections to battery tight and clean. Make sure you have cleaned both posts. Make sure there is no corrosion on cable ends. Also look at the wire that runs to ground , insure that is clean as well. Reconnect battery!
Turn off all accessories (radio, heater, A/C). When you open doors does the dome light turn on.
Does the dome light dim as you crank / click.
Can the car be jump started? If yes then I would lean to a weak battery. Without test equipment ( voltmeter) tough to varify.
You didn't explain why you replaced battery, but a purchased battery usually will normally be enough.
Make sure the battery size (amp hours) is rated for your engine size.
make sure wires to your starter are also corrosion free. A bad ground won't allow enough current flow giving you the click no crank.
try turning the key on off rapidly thus making starter move slightly and if it starts you are probably in need of new starter. The starter relay is easy to replace and cheaper so you can start there.