Reuters also quoted Iranian TV as saying that the slain protester, Agha-Soltan was not shot by the government's security forces, and that the filming of the scene and the way it spread quickly over the Internet and foreign media suggested the incident was planned.
A man by the name of Caspian Makan, who said he was the fiance of Agha-Soltan, told BBC Persian TV that "she was near the area, a few streets away, and got out of the car for a few minutes when she was shot.
"The authorities are aware that everybody in Iran and throughout the whole world knows about her story. So that's why they didn't want a memorial service. They were afraid that lots people could turn up at the event. So as things stand now, we are not allowed to hold any gatherings to remember Neda," he said.
With most foreign reporters expelled from Iran by the government, there is little way to verify the authenticity of information coming out of the country. About 23 journalists have been jailed along with protestors.
Reports say the government is now also cracking down harder on technology, with twitter and other social media outlets becoming the main way for protestors to get their thoughts out to the world.
Iran's feared Revolutionary Guards yesterday warned of a decisive confrontation if protesters come out. More than 1,000 people defied them Monday before security forces delivered on their threat.
"Police were beating protesters with batons and shooting into the air to scare them off," one Iranian dissident said by telephone.
On his Web site, opposition leader Mousavi urged the protesters on, writing that "protesting lies is your right." But he hasn't been seen in public for days, leaving opposition supporters disorganized.
Disagreement over the election extends to the highest levels of the Iranian government. On Sunday, the parliamentary speaker said the government should listen to the protesters' demands, after the supreme leader dismissed those concerns on Friday.
There are doubts about the election even among Iran's most senior clerics.
"The fact that the clerics have given the election no official recognition is significant. The regime is divided within," said Roger Cohen of the New York Times, one of a handful of western reporters still in Iran.
In the headlines of official newspapers and in public statements, Iranian leaders pointed to a foreign hand in the protests.
"Western powers and western media are spreading anarchy and vandalism," said Hassan Qashqavi, Iran's foreign ministry spokesman.
Mousavi's Web site called Monday for supporters to turn on their car lights in the late afternoon as a sign of protest.
A student leader in Iran told ABC News the opposition is planning to close the main Tehran bazaar Tuesday, shutting down many businesses. It would also have big symbolic importance.
Iran conceded Monday there were voting problems in as many as 50 cities, saying that the total number of votes in some of these areas outnumbered the number of eligible voters.
State-run Press TV reported on its Web site that as many as 3 million extra votes could have been cast, but according to a spokesman for Iran's Guardian Council, that would not be enough to affect the outcome of the controversial election in which President Mahmoud Ahmadinejad was declared the winner.
But it is a potentially significant comedown for a regime that has dismissed all election fraud charges.