Mr O'Connor claims ANZ "created, supported and encouraged" the "toxic and unsafe culture".
The AFR reported it had been aware of "an out-of-control culture" on the bank's trading floor before Mr Alexiou and Mr O'Connor's claims were lodged in the Federal Court.
ANZ told the AFR yesterday that the staff were dismissed for serious breaches of its code and it would "be vigorously defending both their court applications".
"Mr O'Connor and Mr Alexiou's claims are difficult to read for all of us at ANZ but common sense says their behaviours are not consistent with our code of conduct and cannot be tolerated," ANZ's chief risk officer, Nigel Williams, told the AFR.
Mr Williams said ANZ had "already identified that many of the allegations made in both claims are not accurate and these inaccuracies will become apparent as the matters proceed through the court system".
He said ANZ would investigate allegations made about existing and former staff "that are bought to our attention either through our own management and monitoring or those raised by current or former staff".