Halifax and AIB say they will pass on the full interest rate cut of 0.5 percentage points to their standard variable rate mortgage customers.
AIB said it would be reducing its rates on personal, business and mortgage loans following the ECB interest rate announcement.
The small business group ISME and the Construction Industry Federation earlier called on the banks to immediately pass on the ECB interest rate cut in full to customers.
People on tracker mortgages should benefit from the cut almost straight away, but most other banks have not yet said if and when cuts in other rates will be passed on.
AIB and Bank of Ireland say their tracker rates will come down within five days of the ECB's cut becoming effective. Bank of Ireland says it is monitoring the situation with regard to other rates.
Irish Life and Permanent says the terms of its contract with mortgage holders is that the tracker rate must change to reflect the ECB move within one month of the ECB move. Irish Life and Permanent is not offering new tracker mortgages.
A spokesperson for National Irish Bank said it was normal practice to pass on rate reductions for customers with tracker mortgages or tracker-based deposit accounts as soon as they came into effect. But it said the issue of a rate cut for those with other products was a separate matter.
Ulster Bank and First Active say they will review the pricing of their lending products after the ECB cut.
