The Government has set the price range at which it will sell shares in AIB.
Shares will be priced at between €3.90 and €4.90 for the Initial Public Offering (IPO), which will value the bank at between €10.6 billion and €13.3bn.
The State is selling a 25% stake in AIB and will float shares on the stock markets in Dublin and London.
In a statement, the Department of Finance said the IPO is set for 23 June.
It added the share offering is expected to raise between €2.6bn and €3.3bn.
AIB price range midpoint would raise just under €3bn, giving market cap of just under €12bn
— seanwhelanRTE (@seanwhelanRTE) June 12, 2017
The lender had been valued at €11.3 billion by the National Treasury Management Agency last February.
Read more: AIB risk factors - what potential shareholders should be aware of
Commenting on the IPO, Minister for Finance Michael Noonan said "the time is right to move to the next stage in AIB’s IPO process as market conditions remain favourable and I am encouraged by the strong level of interest shown by investors in the offering to date.
"A successful transaction would represent an important milestone in our journey to dispose of our banking investments and ultimately recover all the money the Irish State has invested in AIB."
RTÉ Business Editor David Murphy analyses the share price range set by the Govt for AIB sale pic.twitter.com/oU3TJnYuc7
— RTÉ News (@rtenews) June 12, 2017
The bank has also published a detailed 700 page prospectus that outlines the key risks facing the bank.
The prospectus contains a lot of information about AIB's financial position, including details of ECB funding, NAMA, loans and property and construction.
Members of the public will be able to apply to buy shares, subject to a minimum applications size of €10,000 per investor.
In the prospectus, AIB said it does not intend to pay an interim dividend in 2017 but expects to seek permission in 2018 for a final dividend for full-year 2017.
