Cash fares for many Iarnród Éireann, Luas, Dublin Bus and Bus Éireann services will increase from tomorrow.
Minister for Transport Paschal Donohoe said that the level of the increases was "significantly less" than previous increases.
"As Irish Rail, Bus Éireann and Dublin Bus begin to get back on their feet again, because of more people using their services and because of additional investment from the Government, I am expecting that those sort of price increases that we saw in previous years are not repeated," Mr Donohoe said.
He also added that he believed that Leap cards still offered "very good value".
The National Transport Authority approved the increases last month, saying fares would be less complicated and encourage people to use Leap cards.