The rate changes come into effect from today.
AIB and EBS have increased their interest rates on a number of deposit accounts to 2%.
They have also increased their rates on regular saver offerings to 1.5% for personal and business customers.
The rate changes come into effect from today.
AIB's 2% return on its regular online saver, Junior and Student Saver and the EBS Family Saver accounts will apply to the first €1,000 per month for 12 months.
After this period, a rate of 0.1% will apply.
The move is likely to put pressure on Bank of Ireland and Permanent TSB to raise their rates for savers.
Irish banks have been criticised for the slow pace at which they are passing on the interest rate increases that the ECB has introduced since last July.

Two Teenagers Arrested For Wrong-Way Driving Of A Stolen Car And Ramming Garda Vehicle
Taoiseach Travelling To UK For Meeting With Prime Minister
Man (50s) Due In Court Charged With Healy Rae Assault
Rathangan Will Be The Host Of Next Year's National Ploughing Championships
School Absence Increases In Last Ten Years
Timolin Student Awarded For Sepsis Research
Kfm and Independent Radio Stations Launch Major Road Safety Promotion
Central Bank Reveals Average Time Of Four Years To Build House