Figures released to the Brisbane Times show 426,340 journeys were taken across the network on Monday.
Passengers enjoyed $191,109.07 in savings across south-east Queensland,an average of 45 cents in savings per trip.
Just 46 incorrect fares were identified during the first day of the rollout,representing 0.01 per cent of all journeys. All 46 were adjusted.
The Fairer Fares email newsletter was sent to 385,764 people on Monday and 215,707 people received a notification about the new fares through the TransLink app.
In June,Mr Hinchliffe said the reduced fares could cost the government as much as $210 million in lost revenue over the next four years.
But it was predicted there would be a small increase in patronage.
The new package includes slashing travel zones from 23 to eight,extending the off-peak discount and replacing the nine-and-free deal with a new model.