The bank's chairwoman Catherine Livingstone said in a statement to the stock exchange that Ian Narev "will retire by the end of the 2018 financial year".
Narev faced calls to step down last week after the financial intelligence agency AUSTRAC launched a civil action against the bank alleging "serious and systemic non- compliance" with the laws more than 53,000 times.
The 50-year-old initially insisted he would stay on but Livingstone said today that the bank wanted to end speculation over his future.
"Today's statement provides that clarity and will ensure he can continue to focus, as CEO, on successfully managing the business."
Shares in CBA, Australia's biggest company by market capitalisation, closed 1.01 per cent higher to Australian dollars 81.31 in Sydney.
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