Does the Czech government want to deploy nuclear weapons on Czech territory? No, that's not true: The Czech Republic does not possess, produce or host nuclear weapons on its territory.
The claim appeared in a video (archived here) on the TikTok account of @babis_je_nejlepsi on June 5, 2023, with no title by the user.
The video opened:
The government wants to deploy nuclear weapons on our territory!
This is what the post looked like on TikTok at the time of writing:
(Source: TikTok screenshot taken on Tue Jun 13 13:33:19 2023 UTC)
Czech Minister of Defense Jana Cernochova said that the Czech Republic is not planning to participate in NATO's program for sharing nuclear weapons (Nuclear sharing) despite planning to buy an American fighter jet F-35, made by Lockheed Martin, capable of carrying nuclear bombs.
Nuclear sharing is a concept in NATO's policy of nuclear deterrence, which allows member countries without nuclear weapons of their own to participate in the planning for the use of nuclear weapons by NATO. Part of nuclear sharing is that participating countries conduct consultations and make common decisions on nuclear weapons policy, maintain technical equipment required to use nuclear weapons and store nuclear weapons on their territory.
Czech Chairwoman of the Chamber of Deputies Marketa Pekarova Adamova called for abandoning the act, but not because it states that there won't be placed any nuclear weapons in all new NATO members, as well as there won't be any storages built for nuclear weapons, but because "Formal political relations between NATO and Russia no longer exist. We must refrain from returning to normal relations because the Russian threat is unlikely to disappear completely in the near future."