"We think this is important to market integrity, which goes to the heart of the Australian market," Australian Securities and Investment Commission (ASIC) Chairman Greg Medcraft told a parliamentary hearing in Canberra.

The government's plans to slap a 6-basis point tax on the banks' liabilities were leaked to the media before the official announcement on May 9.

The affected banks - Commonwealth Bank of Australia (CBA), Westpac Banking Corp, Australia and New Zealand Banking Group Ltd, National Australia Bank Ltd and Macquarie Group Ltd - have strongly opposed the levy.

Shares in each of the banks fell more than 2.5 percent after the leak on May 8, with trading volumes more than double the daily average for all but Macquarie.

Analysts however also noted pressure from CBA's third-quarter results, which observers took as a sign of rising challenges for the sector.

ASIC said it was investigating accounts that traded the stocks of the five banks and was seeking information from Morrison's office about what individuals were aware of the plan.

Police were assisting with the investigation, ASIC Commissioner Cathie Armour said.

(Reporting by Colin Packham; Editing by Stephen Coates)