Asked to enter a plea on the second charge, Abedi said: "Same as before.
"I don't see any wrongdoing."
Chief magistrate Paul Goldspring formally recorded not guilty pleas.
Parsons Green Tube bomber Ahmed Hassan, who also appeared in court, pleaded not guilty to assaulting Mr Edwards.
But addressing the chief magistrate, he said: "I want to make three points before I confirm my name.
"I want you to know that I hate you very much because you are a judge, judging by other than the law of Allah.
"You will be destined for hellfire unless you repent and submit yourself to the law of Allah.
"I am not represented and evidence has not been disclosed to me."
Mr Goldspring told the pair, who were legally unrepresented, it was up to them to "do something about it" if they wanted lawyers at their next court appearance, in May.
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