"The first step toward free and regulated access to cyberspace has been taken," Mohammad Reza Aref wrote on X on Tuesday.
The internet monitoring group Netblocks has said in a post on X that live data showed partial restoration of internet connectivity in Iran, Reuters reports.
Iranian state media reported a day earlier that Iranian President Masoud Pezeshkian had issued an order to reopen international internet access, after a near-90-day blackout in the wake of the US-Israeli war on Iran.
Internet monitoring groups Netblocks and Kentik reported "partial" restoration around 13:00 GMT, though the latter warned most networks were still down.
The Iranian government cut internet access following the launch of US and Israeli attacks on 28 February. Officials suggested the aim was to prevent surveillance, espionage and cyber-attacks. It is one of the longest-running national internet shutdowns ever recorded worldwide.
Netblocks said it was "unclear" whether the internet restoration would be "sustained".
"From past digital blackouts in Iran we've seen that the restoration process can take some hours and isn't as streamlined as the shutdown procedure," the group's director of research Isik Mater earlier told BBC Verify.
When the US and Iranian attacks started and internet access was cut off, Iran had only enjoyed full access to the outside world for only about a month following a previous shutdown imposed during January's deadly regime crackdown on anti-government protests.
Iran’s semi-official Tasnim news agency has cited a source close to Iran’s negotiating team as saying $24bn of frozen Iranian assets must be released in any potential deal with the US.
The source said Tehran’s position is that half of the amount – $12bn – must be released when a memorandum of understanding is announced, with the remaining amount released within 60 days.
Iran demanded the release of $12 billion in frozen assets in a potential deal with the US and insisted that another $12 billion "should be transferred within 60 days" of signing the agreement, the semi-official Tasnim news agency reported Tuesday.
Iran’s top negotiator and parliament speaker, Mohammed Bagher Ghalibaf, visited Qatar on Monday for talks aimed at "securing access to $12 billion in the first phase, as well as removing obstacles," Tasnim said, citing a source familiar with the matter.
"Given past experiences regarding the release of Iranian funds in South Korea and Qatar, emphasis was placed on carefully monitoring the implementation process to avoid repeating previous issues," the source said.
The source noted that Ghalibaf’s visit aimed to ensure smooth access to the funds.
The negotiations in Qatar were "generally positive and contributed to progress in broader negotiations," he added.
The official briefed on the Iranians' Doha visit told Reuters the discussions focused on the Strait of Hormuz and Iran's stockpile of highly enriched uranium, while Iran's central bank governor attended to discuss the potential release of frozen Iranian funds as part of a final deal.
Iranian foreign ministry spokesperson Esmaeil Baghaei said earlier that nuclear issues would only be negotiated after the framework accord was agreed.
Baghaei said the potential Iran deal contained no specific details on management of the Strait of Hormuz, through which about a fifth of the world's oil and liquefied natural gas usually flows.
Iran would not charge tolls for ships to pass through, but there would be a cost for services offered, such as navigation and steps to protect the environment, he said, under a protocol to be agreed with Oman, which lies on the opposite shore of the waterway.
Citing a Middle East diplomatic source, Japan's Nikkei newspaper reported the US and Iran were discussing a plan to open the strait about 30 days after reaching a deal to end hostilities.
Earlier, US Secretary of State Marco Rubio said that negotiating a deal with Iran could "take a few days," quashing hopes for an imminent end to the conflict a day after US forces conducted what Washington called defensive strikes in southern Iran.
Describing the strikes against targets including boats attempting to lay mines and missile launch sites, Rubio said the Strait of Hormuz has to be open "one way or the other".
"The straits have to be open, they're going to be open one way or the other, so they need to be open," Rubio told reporters on his plane in India's Jaipur.
Despite a ceasefire in place since early April, US Central Command said in a statement on Monday it had carried out fresh strikes designed "to protect our troops from threats posed by Iranian forces".
Iran said on Monday it had downed a "hostile" stealth drone using a new air defence system, Iranian news agencies reported, without saying where it had come from.
The US attacks came as Iran's top negotiator and its foreign minister were in Doha for talks with Qatar's prime minister on a potential deal with the US to end the three-month-old war, an official briefed on the visit said.
Rubio told reporters in New Delhi earlier that the US would give diplomacy every chance to succeed before considering whether to deal with Iran in "another way".
He said there was a "pretty solid thing on the table," referring to talks over reopening the strait and a "very real, significant, time-limited negotiation on the nuclear matter".
In a lengthy post on Truth Social on Monday, US President Donald Trump said talks with Iran were going "nicely", but warned of fresh attacks if they failed. It "will only be a Great Deal for all, or no Deal at all," he wrote.
In another indication of the region's tensions, Israeli Prime Minister Benjamin Netanyahu said on Monday that Israel would intensify strikes against the Iran-backed Hezbollah militia in Lebanon.
Israel's military soon thereafter said it was attacking Hezbollah infrastructure in Lebanon's eastern Bekaa Valley and other areas.
Israel and Lebanon agreed to a ceasefire in mid-April, but Israel has continued airstrikes it says are acts of self-defence against Hezbollah, which was not party to the truce.
Since the US and Israel launched strikes on Iran on February 28, only a few dozen vessels have been passing through the Strait of Hormuz compared with 125 to 140 daily previously.
The stand-off has caused a spike in oil prices and driven up the costs of fuel, fertiliser and food.
In early Asian trade on Tuesday, US West Texas Intermediate crude was up slightly from Monday's last traded price but down 5.5% from Friday's close.