The Kitten Box was the home of Oliver and his brothers and sisters until, one by one, the kittens were adopted by their future cat owners except Oliver, who was later forced to live a life on the streets after the box was torn to pieces and dragged into the sewers after it was filled up with water from a pipe during a stormy night; nearly dragging Oliver into the sewers until he was saved. The next day, he found a home at Fagin's place and finally, the very next day, a home at Jenny's place.
The box is located somewhere in Times Square on the sidewalk in New York City. Inside the box, there are newspapers for the kittens to walk on and play with.
The box itself is mostly light brown in color with a sign attached next to it; saying: "Kitties Need Home $5.00", later "$3.00", and then since Oliver was the only kitten left, he is for "Free".