The statement was addressed to the election supervisory arm of the Guardians Council, Iran's hard-line political watchdog.
At least three of the seven candidates who stood in the 17 June first round have complained of irregularities.
The Guardians Council, meanwhile, has agreed to recount a small selection of ballot boxes. It says the recount will be completed by today so the second round can go ahead as scheduled.
Iran: As Winners Head For Runoff, Losers Complain Of Fraud
For RFE/RL's full coverage, see "Iran Votes 2005"