The EDL demonstrators pushed their way through a police cordon as they made their way to Trafalgar Square.
They chanted "Muslim killers off our streets" and "There's only one Lee Rigby" in tribute to the soldier killed in Woolwich, south-east London last Wednesday.
The protesters held placards that read "Blood on your hands" and "GB RIP".They are expected to demonstrate outside Downing Street later.
The demonstrators marched through Admiralty Arch and onto Parliament Square.
They were escorted by Metropolitan Police officers and vans, while a force helicopter followed overhead.
A Scotland Yard spokesman said Whitehall was closed to traffic because of "a number of demonstrations".
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The pub owner said the sign is a nod at having a bit of fun in support of them and celebrating their relationship and the wedding.
A 61-year-old woman was taken to hospital with head injuries after the incident in Islington, north London.
Assema Kedir Habib spoke at the commemoration of her brother Hashim Kedir and his family.