The increases, which took effect at midnight, are part of the second phase of government plans to remove all energy subsidies. The cost of electricity and domestic gas went up by 25 percent earlier this year as part of the same programme.
Iranians are entitled to purchase 60 litres of petrol each month at a reduced price. The official IRNA news agency said cut price petrol would increase from 4,000 rials (12 US cents) per litre to 7,000 rials, (22 cents), using the market rate for the dollar.
And under the government's newly announced measures the price of semi-subsidised diesel will increase from 1,500 rials to 2,500 rials, a 60 per cent hike, IRNA said.
The government's goal is to eventually liberalise all energy prices and reduce energy consumption, which far surpasses the global average.
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President Hassan Rouhani has admitted that the price hikes will increase living costs, at least in the short term, although the country's official inflation rate has fallen steadily since he took power last August.
The Washington-based International Monetary Fund is among global institutions recommending that Iran reforms the subsidy programmes implemented under Mahmoud Ahmadinejad, Rouhani's predecessor.
The IMF estimates that Iran's economy shrank by 1.7 percent in 2013, the second straight year of contraction after the United States and its allies imposed sweeping sanctions as punishment for Tehran's disputed nuclear activities.