I re-built the alternator on my Discovery II 2003 change the battery and verify the fuses but still acting like the battery is out of charge, the battery terminal look good, I can see anything else that cause that failure, any advice?

 

test your alternator ouput with a volt meter, or remove and take to a parts store and let them test it on their machine.

 

Do not test separately, go to your local parts store and have them test the system in the truck at idle and at 2000 RPM's, should be between 13.6 and 14.4 volts.