Anjem Choudary, the radical preacher accused of radicalising Woolwich attacker Michael Adebolajo, has challenged David Cameron to a debate about British foreign policy.

Choudary, who earlier suggested the Woolwich murder was retribution for Britain's "murdering" troops in Iraq and Afghanistan, also suggested Muslims were a victim of a "witch hunt".

Writing on Twitter, Choudary said: "I can challenge the war monger David Cameron to an open debate on 'Whether Muslims should promote hatred or love against UK Foreign policy?'

"In reality David Cameron is clearly not able give any cogent argument as to why the UK regime continues to follow the US in killing Muslims!"

Undeterred by recent criticism surrounding his inflammatory statements, Choudary continued: "The proof that the UK regime continue to lose the argument in relation to their foreign policy is in their running rough shod over liberties.

"The absurdity of the discussion around 'preachers of hate' & 'radicalism' is tantamount to modern day witch hunt against Muslims!"

Choudary, who went to school just yards from where soldier Lee Rigby was killed on Wednesday, also posted a series of messages suggesting that his sermons were fair and reasonable.

"What's Radicalism: Calling for Shari'ah? Exposing the UK regime? Defending the innocent Muslims being killed by the US/UK around the world?

"If that's the case then we can get all communists, socialists, anarchists, nihilists, racists etc.. Not to forget everyone in 'Stop the war'."

Many have demanded that Choudary be placed under a new terror control order, even though he has never been convicted of any offence.

It is claimed that around a fifth of all terrorists convicted over the last 10 years were affiliated to al-Muhajiroun, the radical group which Choudary co-founded.

Choudary, a lawyer by training, cannot be deported as he is a British citizen. However, he could be prosecuted under the Government's new Terrorism Prevention and Investigation Measures (TPims).

Home Affairs Select Committe member Mark Reckless told the Telegraph: "If there is clear evidence of him encouraging terrorism or inciting violence then the Home Secretary may want to consider if he's a fit person to be subject to the TPim regime."