Mohammad Haque, 30, and Emdadur Choudhury, 26, are accused of jointly carrying out the burning of three oversized plastic poppies in a way that was likely to cause "harassment, harm or distress" to those who witnessed it.
Haque, of Mace Street, Bethnal Green, east London, and Choudhury of Hunton Street, Spitalfields, east London, have both pleaded not guilty to one count each under section five of the Public Order Act.
The alleged offence took place on November 11 2010 as rival demonstrations took place at Kensington Gore.
During the day, members of the English Defence League (EDL) exchanged angry outbursts with representatives of Muslims Against Crusades (MAC).
The verdict is due to be delivered at Belmarsh Magistrates' Court.