Transport Minister Norman Baker told BBC Radio 4's Today programme that the current fare structure was "not ideal", adding that the Government wanted to end above-inflation fare rises as soon as possible:
First Great Western spokesman Dan Panes has blamed the Government's above-inflation formula for the hike in rail fare prices.
He told Daybreak: "While rail fare payers are paying more, taxpayers are paying less towards the cost of travel."
The 10th above-inflation increase in a row led a campaign group to claim that the increases come at a time of "no perceptible improvement in services."
Last week Railfuture spokesman Bruce Williamson said: "Yet again, rail fares go up with no perceptible improvement in service.
"Over the last 10 years, fares have increased by more than 50% - much more than people's incomes."
TUC chief Frances O'Grady has told Daybreak that "if we bring the railways back under public control, there would be more money to invest for the future."
Some season ticket holders have seen their fares rise by more than 50% in the last 10 years, campaigners have said.
The Campaign for Better Transport (CBT) said its research showed that in the last decade London commuters have seen:
- Average season ticket costs increase by £1,300.
- Fares grow 20% faster than wages.
- Average costs in real terms increasing by £360.
It added that in the last 10 years rail fares had gone up substantially in all parts of England but that there were significant differences between routes over that period:
- Annual fares from Ashford International in Kent to London have risen by more than £2,000.
- Fares from Sevenoaks in Kent to London have increased by nearly 90%, from £1,660 to £3,112.
- In contrast, fares from Stevenage in Hertfordshire to London have risen by £772 - an increase of 30%, but below the increase generated by inflation alone.