Former civil servant Sir John Chilcot will appear before MPs on the Commons Liaison Committee on 18 October.
The report, which took seven years to complete, criticised Tony Blair and his government's case for going to war in 2003.
Mr Blair defended his actions, saying military action had been justified.
The Chilcot Inquiry, which began its work in 2009, after UK troops left Iraq, did not attempt to reach a verdict on the legality or otherwise of the military action.
Mr Blair has continued to insist the decision to remove Saddam Hussein was justified, although he has acknowledged that the intelligence on which it was based was flawed.
Appearing before a separate committee of MPs last month, Cabinet Secretary Sir Jeremy Heyward said he and other civil servants were in the "preliminary" phase of learning lessons from the report in terms of how government should operate in future.
He said he was frustrated at the length of time the inquiry had taken but believed that it could not have been expedited without changing the large terms of reference or restricting access to vital declassified documents and other material.
The liaison committee, made up of the chairs of individual parliamentary committees, is best known for questioning the prime minister of the day two or three times a year.

Miriam Briddon died after the collision involving her Fiat Punto and a Volkswagen Golf driven by Gareth Entwhistle near Ciliau Aeron.
Entwhistle, 34, from the Aeron Valley, admitted causing death by careless driving while under the influence of alcohol on 29 March, 2014.
He will appear again at Swansea Crown Court at the end of July.
The crash victim was a former Ysgol Dyffryn Teifi pupil, described by her family as a "creative person who would be truly missed".

The Perth-based firm said it was buying £82m worth of new vehicles for its regional networks in England, Scotland and Wales.
A further £10m will be invested in new buses for London and about £4.5m in coaches for its megabus.com operations.
Falkirk-headquartered coach maker Alexander Dennis (ADL) will produce 415 of the new vehicles.
Most of the rest will be made by Volvo and Mercedes Benz.
The new fleet will be introduced in the 2016-17 financial year.
Stagecoach said it had now invested more than £1bn in new buses and coaches since 2006-07.
All of the new vehicles will be built to meet Euro 6 emissions standards. Most will also have wifi installed.
The orders include 280 low-floor double-decker vehicles and nearly 100 single decker and midi vehicles.
Stagecoach chief executive Martin Griffiths said: "We are investing in state-of-the-art, cleaner, greener vehicles, digital technology and smart ticketing to raise the bar and deliver an even higher standard of service.
"These latest vehicle orders are an important part of our strategy to encourage even more people to take the bus."

Edward Alexander Lee, 34, was sentenced to three years on probation at Belfast Crown Court on Wednesday.
Judge Gordon Kerr QC said it was the best way of protecting society and helping Lee to change his ways.
Lee, originally from Whitehall Square, Belfast, but now living in England, pleaded guilty to a total of 15 charges related to child pornography.
The court was told the vast majority of the images were in the lowest categories, although some were in the higher - more serious - categories.
Lee was described by his wife as a being "loving and normal young man".
Judge Kerr said that while he had viewed the images for his "own strange pleasure", they were serious matters as "children were abused for these images to be made".
He added that children would continue to be abused while people like Lee continued to view such material, and that "society would not tolerate such behaviour".
Judge Kerr said a sentence of up to a year in prison would do very little to assist Lee or the community.
Placing him on probation, he ordered him to complete a course on sexual offending to help him stop viewing such images.
Earlier, prosecutor Simon Jenkins said that when police went to Lee's then Belfast home on 5 June, 2014, he immediately confirmed he was the man they were looking for.
On computer equipment seized, police uncovered a number of folders, which Lee admitted creating.
During interview, Lee said that he had been downloading images "for perhaps the last nine years".
Defence lawyer Taylor Campbell said that Lee had admitted his guilt from the outset, pleading guilty at arraignment, and was entirely frank and co-operative with police.
MPs will question the chairman of the Iraq War Inquiry later this month for the first time since it published its official report in July.
[NEXT_CONCEPT]
A Ceredigion man has pleaded guilty to drink-driving and causing a crash which killed a 21-year-old woman.
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Transport group Stagecoach has placed orders for about 480 buses and coaches in deals worth a total of £97m.
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A man, who downloaded thousands of images of children being sexually abused, has been released on probation.