Bashir, who is wanted by the International Criminal Court (ICC) for genocide and war crimes, has been pushing for closer energy and military ties with Russia.
The nuclear power plant deal was signed in Khartoum on Thursday by Rusatom Overseas, a branch of Rosatom, and Sudan's electricity ministry, the Russian nuclear company said in a statement.
"The development of nuclear technology will allow Sudan to deal with its energy security problem. It is a strategic project which will determine the nature of relations between our two countries for a long time," Rosatom said.
The deal comes after Bashir met Putin in the Black Sea coast city of Sochi on November 23, where a cooperation nuclear energy deal was signed.
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Arrest warrants against Bashir were issued by the ICC in 2009 and 2010 on charges of genocide, war crimes, and crimes against humanity related to the conflict in Darfur, which claimed at least 300,000 lives.
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