Kim Yo-jong said North Korea's nuclear deterrent "should be brought to further perfection", state media reported.
The US agreed to deploy nuclear-armed submarines to South Korea and involve Seoul in its nuclear planning to counter nuclear threats from the North.
In return, South Korea agreed to not develop its own nuclear weapons.
The deal - known as the Washington Declaration - was announced this week during President Joe Biden's talks with his South Korean counterpart Yoon Suk-yeol's in the American capital .
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