On Wednesday, Trump said in a tweet the "OPEC Monopoly must remember that gas prices are up and they are doing little to help".
Washington's withdrawal from the landmark Iran nuclear deal was widely criticized across the world.
Iranian Oil Minister Bijan Zanganeh said the tension between Iran and the USA is a "trade war", adding that Iranian output and exports had not changed as a result of United States pressure.
The Iranian minister also criticized Trump's pressure on Saudi Arabia to increase its supplies and said such efforts would destabilize oil market.
Zanganeh said that exerting pressure as such was against the principles of the Organization of the Petroleum Exporting Countries (OPEC) in which both Saudi Arabia and Iran are founding members.
On Friday, Oil prices fell due to surging United States output and falling demand in China amid worldwide tensions and a Saudi production increase.
An increase in supply will reverse some of the output cuts that OPEC and other major producers put in place in early 2017 to end several years of supply glut.
Earlier this week, Trump lashed out at OPEC, accusing the oil organization of failing to help the U.S. to reduce domestic gasoline prices.
Iran, OPEC's third-largest producer, is facing USA sanctions on its oil exports prompting some buyers to cut purchases.
The move came as Iran - an OPEC member - faces renewed sanctions over Trump's decision to quit the worldwide nuclear deal with Tehran, which has added to supply concerns on world markets.
"There will remain no such organization (as OPEC) in the future after continuation of the sanctions" against Iran, he was quoted as saying.
In July, South Korea halted all Iranian oil shipments for the first time in six years amid USA pressure. "South Korea overall is lifting zero oil (from Iran) for July loading".
MUFG Bank, a leading Japanese bank, said renewed geopolitical supply-side disruptions stemming from Canada, Iran, Libya, Venezuela and the USA, raises the likelihood of oil trade interruptions and with it upside risks to oil prices in the near term.
Iran has threatened to block oil exports through a key Gulf waterway in retaliation for USA efforts to reduce Iranian oil sales to zero.
"The embassy of the Republic of Korea denies any claims that it would not lift any Iranian crude and condensate in July", the South Korean embassy responded to the report.