Mr Carney, who was appointed last November and will take up the role in July, will appear before the committee on 7 February.
The session has been billed as a "pre-appointment hearing" and the committee's views will be reported back to Chancellor George Osborne.
Mr Carney will be questioned on his experience in the public and private sector and his thoughts on monetary policy and financial stability in the UK.
He is currently working as Governor of the Bank of Canada and as chairman of the Financial Stability Board in Basel.
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Andrew Tyrie MP, chairman of the committee, said: "Mr Carney is an experienced and talented appointee with deep public and private sector experience.
"I'm grateful that the Chancellor has offered his support for the Treasury Committee's long-standing view that we should hold what amounts to a pre-appointment hearing and should report our conclusions to the whole House."
"The benefits will flow both ways. Approval from the Treasury Committee would also provide the new Governor with greater authority and independence from day to day pressures of politics and politicians which will come with his enhanced role."
Mr Tyrie said, if necessary, he would request that recommendations made by the committee were debated in Parliament.

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