The Prime Minister is not comfortable with allowing Green MPs to be part of the Intelligence and Security Committee.
The committee oversees the SIS and GCSB.
With legislation reforming intelligence laws due back before Parliament next month, Labour is pushing for the size of its oversight committee to be broadened to include other political parties.
Bill English said he has not yet seen Labour's proposal, but expressed strong reservations about the Green Party getting a position on the committee.
"They've got a deep-seated hostility to any intelligence apparatus at all, which is not a responsible attitude, and we wouldn't want to foster it."
But the Labour Party's pushing for there to be broader political representation on the Intelligence and Security Committee.
Andrew Little is "very comfortable" with the Green Party being represented on the committee, saying it'd add to oversight of the spy agencies and public confidence.
"And the best way to get public confidence is to know that there is as broad a representation as possible on the Intelligence and Security Committee.
"It doesn't matter whether it's the Greens, New Zealand First, whoever, they all ought to be represented on there. That's a question of public and political confidence in those important institutions."
Green Party co-Leader Metiria Turei said Mr English might not want to see anybody question the spy agencies, but the public deserves better.
"That's why you have to have, or should have, more representation on this committee so you get to see different perspectives. Asking the questions that the public wants answers to."
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