Sheikh Faiz-ul-Aqtab Siddiqi is being investigated over claims he raped two Dutch girls in the 1980s and 1990s by West Midlands Police
He denies the claims, saying that they are "unfounded".
Sheikh Siddiqi is the head of Islamic legal service The Muslim Arbitration Tribunal, a sharia law organisation which critics claim is discriminatory against women.
The allegations against him claim that the victims were abused from the age of 11 and 12, until they were 16.
A West Midlands Police spokesman said: "A 51-year-old man from Nuneaton has been voluntarily interviewed in relation to allegations of historical rape cases.
"Inquiries remain ongoing."
Sheikh Siddiqi also owns a Devon holiday park, and runs an Islamic college in Warwickshire.
The claims first appeared in De Telegraaf, a Dutch newspaper
The women alleged that the incident happened after they were sent to the UK to study Islam.
@Michael84
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Frankenblock ago
shocking.