Terry Jones attracted condemnation when he threatened to burn copies of the Koran on this year's 9/11 anniversary.
He said his presence at an English Defence League rally in February would be "positive" but he admitted he would preach against "extremist Muslims".
Anti-extremist group Hope Not Hate is urging the home secretary to act.
The EDL said on its Facebook page that the rally in Luton, Bedfordshire, on 5 February would be "our biggest to date". It said Mr Jones would be joining the organisation to "speak out against the evils of Islam".
Mr Jones, pastor of the Dove World Outreach Center in Gainesville, Florida, which has fewer than 50 members, told BBC 5 Live he had "no intention" of burning the Koran in the UK.
He said his speech would be "on harmony, on the subject that Muslims are welcome in our country".
He claimed: "We have no problem with Muslims - we have freedom of speech and religion - Muslims who want to make our country their country, obey our laws and constitution.
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