The council has already said it is launching an “independent” investigation into the error.
A spokesman said: “Following problems with electoral registration lists on Thursday 5 May 2016, which meant that some Barnet residents were unable to vote, the council is launching a full independent investigation.
“The terms of reference will include a full review of the issues that arose last week as well as the appropriateness of the arrangements in place for the EU Referendum in June.
"The review will conclude by the end of May and the findings will be presented publicly to the general functions committee. We are currently in discussions to establish who will lead on the investigation and will provide further information shortly.”