My car has a new battery but won't crank?

As I turn the engine on there's no click but the lights on the dashboard works. When we do try to jump the battery the starter wants to crank but as soon as we remove the jumper wires no crank nor a click, any advise?

2001 Honda Civic

Make certain the plastic cap that is on the battery post of the new battery is off the battery post. It sounds as though you do not have good contact between the battery post and battery terminal. Pull the battery terminals and clean them if necessary. Try to determine why you are not getting good contact.