English translation: Nuclear Energy Disaster Prevention Drill
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comprehensive nuclear disaster drill; nuclear power disaster prevention drill
Explanation: comprehensive nuclear disaster drill
nuclear power disaster prevention drill
These are the terms that are used by METI, the Ministry of Economy, Trade and Industry (経済産業省). The first term, in particular, is used by the Nuclear and Industrial Safety Agency (原子力安全・保安院), an umbrella organization of METI. So, these are thought to be more accurate than the one that is found in Kantei web page. In fact, "comprehensive nuclear disaster drill" is found in 8 web pages, and "nuclear power disaster prevention drill" in two. You can see the examples here: