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 men were using ropes to lever the sofa up to the first floor apartment because it was too large to fit through the doors.
He's not even halfway.