But for practical purposes there is so much Uranium on this planet that we'll most likely never even use 1% of it. Especially when you factor in newer or experimental reactor designs such as fast breeder reactors [1] that can generate even more power and use waste materials from current systems.
So yes, it is technically not a renewable source of energy, but there is such abundance of fuel that it's not 'non-renewable' the way Coal or Gas is.
[1] https://en.wikipedia.org/wiki/Breeder_reactor#Fast_breeder_r...