The attorney-general said cases facing the three Kenyans relating to witness interference are also crimes within the Kenyan laws.
He insisted Kenya was still a law-abiding nation.
Kenya will demand to try three Kenyans accused of interfering with witnesses at the International Criminal Court (ICC) in local courts.
In the latest statement of intent against the ICC, Attorney-General Githu Muigai said on Thursday the offences the three face can be prosecuted in Kenya.
