Bailed-out bank ABN Amro priced its shares at €17.75 (£12.42) per share, the mid-point of its proposed range, giving it a market capitalisation of €16.7bn.
The dutch government sold 188m shares, amounting to a 23 per cent stake, at €17.75 (£12.42) per share, helping it re-coup €3.3bn.
"The stock market lising is an important milestone," Gerrit Zalm, chief executive of ABN amro, said.
"If you look at our capital position, it's strong, we have a good return on assets, we've been paying a dividend again since 2012 and of course we're going to continue with that … we're back again."
The privatisation comes as the British government is in the process of whittling down its stakes in state-backed banks Lloyds and RBS.
The dutch government took a leading role in the ABN's bailout during the depths of the financial crisis in 2008.
Barclays, Citigroup, Rabobank, ING, J.P. Morgan and Merrill Lynch are acting as joint bookrunners.