The West is keeping a hawk's eye on Iran's aim to produce nuclear weapons. However, Iran has always maintained that its objective to hold nuclear programme is for purposes like energy production.
According to BBC's Farsi language service, the poll showed 63% of those who took part in the poll favoured halting the uranium enrichment in exchange for putting an end to Western economic sanctions.
BBC said that the charges were "both ludicrous and completely false, and the BBC Persian Service stands by its reporting."
"There is a significant audience within Iran which depends on BBC Persian to provide impartial and trusted news, and we are confident they are familiar with the state media's tactics," it said.
The poll was, however, removed from the website on Tuesday.