The flights will take place four times per week, with ticket prices starting from 39 euros. A business class fare on the other hand will cost from 589 euros.
airBaltic formerly flew to Dublin from Rīga but the service was discontinued in 2012.
For now, the Dublin service will be a summer seasonal route, airBaltic told LSM.
Dublin Airport Managing Director Vincent Harrison, said he was delighted to welcome airBaltic back to Dublin Airport, saying: “This new service to Riga will further enhance the connectivity between Ireland and Latvia and is good news for passengers as it will offer additional choice and convenience.”
Currently, Irish airline Ryanair flies direct between the Irish and Latvian capitals.