A planned visit by Mr Ban to North Korea in May was abruptly cancelled.
The last visit by a UN chief to the reclusive nation was by Boutros Boutros-Ghali in 1993.
The UN said in a statement that Mr Ban, a former South Korean foreign minister, would be in New York next week then Malta, before going to the COP21 climate summit in Paris.
He had no plans to go to North Korea but "has repeatedly said that he is willing to play any constructive role", including travelling there, "in an effort to work for peace, stability and dialogue on the Korean Peninsula", a spokesman said.
Earlier reports had said that he was due to visit for four days and would meet North Korean leader Kim Jong-un.
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