welcome to the site! if you havent done so already I would take the kitty for a quick check up. it sounds like it might have a urinary infection. alot of kitties will urinate outside the box as a way of letting you know something is up. the kitten maybe associates the pain it might be experiencing from an infection with the litter box so it will go outside of it.
as others have said you need to be sure you have cleaned the area with an enzyme cleaner or your kitty will still smell the urine that is already there!
Tabitha April 10, 1995 - August 23, 2013
Bomber April 10, 1995 - July 12, 2010
Winston Nov 15, 1999 - September 15, 2011
Sophie Aug 30, 2011
"UNTIL ONE HAS LOVED AN ANIMAL, PART OF THEIR SOUL REMAINS UNAWAKENED"
He is your friend, your partner, your defender, your dog. You are his life, his love, his leader. He will be yours, faithful and true, to the last beat of his heart. You owe it to him to be worthy of such devotion.