IN the us, above ground, on site, in dry casks (Fukushima had this same issue too) There is no plan for where to put it. Yuca mountain is stalled and no way to finish (and problems with the site)
https://www.nei.org/news/2019/what-happens-nuclear-waste-us
Sweden got their shit together, but they dont have much in the way of power and their site has massive cost over runs.
https://www.politico.eu/article/sweden-approve-nuclear-waste...
But, even underground, on the time scale were talking about, its complicated: https://longnow.org/ideas/the-other-10000-year-project-long-...
It wasn't an issue at Fukushima, it's not currently an issue in the US, and the reason Yucca Mountain isn't being developed is FUD and politics, not technical. Note that the vast majority of nuclear waste isn't high-level waste, but rather low-level - tools, clothes, etc.