Following a formal request from the First Minister, Mark Drakeford AM, the Llywydd, Elin Jones AM, has agreed to recall the National Assembly for Wales.
The Assembly will sit on Thursday, 5 September at the Senedd in Cardiff Bay.
The agenda for the meeting will be released in due course.
Elin Jones, Presiding Officer of the National Assembly for Wales said:
"In accordance with Standing Order 12.3, I have received a request from the First Minister to recall the Assembly next week in order to discuss the latest Brexit developments.
"I have agreed to the request and in light of this, a full Plenary session will be held on Thursday 5th September.
"We are in uncharted constitutional territory, and it is a matter of parliamentary principle that as the UK Parliament reconvenes next week, Assembly Members should also be afforded the opportunity to speak for their constituents on this issue of great significance."
Recall of the National Assembly is covered under Standing Order 12.3 which states:
If no plenary meeting is timetabled for a particular date or time, the Presiding Officer may, at the request of the First Minister, summon the Assembly to consider a matter of urgent public importance.
The National Assembly has been recalled three times before:
In 2002 following the death of the Queen Mother.
In 2012 to debate and vote on council tax regulations.
In 2016 to consider the steel industry crisis.