Speaking on This Morning, Lyn said that she was "very angry" that Michael had found a lawyer to represent him as he plans to sue prison officers after a brawl led to him losing his teeth.
Lyn noted that Michael can get false teeth to replace the ones he lost but she can never have her son back.
She explained: "We're very angry and it hurts a lot. He's lost two teeth of his own fault kicking off or whatever, but you can replace teeth, we can never replace Lee.
"It's blood money, that's how I see it. To me, it's like he's taken Lee away from us, he killed him in horrific circumstances, and now he wants paying for it.
Lee's mother Lyn revealed that his killer wants compensation after he lost his teeth
Lee's parents were close to tears as they slammed his claim for compensation
"It makes a joke of the justice system, officers were not found guilty, no wrong doing, I don't understand where a case could from."
Those tuning into This Morning were full of anger as they watched Lee's family suffer even more due to Michael's claim for compensation.
They took to social media to show support for the Rigby family and slam Michael for claiming he was entitled to money.
One user tweeted: "@thismorning Respect to the Rigby family for showing unbelievable strength…RIP Lee Rigby. To right it's blood money #NoJustice #ThisMorning."
Another added: "@thismorning @thismorning to right it's blood money that scum should be hung, let alone allowed to eat or drink in prison #nojustice."
"@thismorning Oh my goodness. What brave strong people the #Rigbys are. How much more can they take? Our 'justice' system is just wrong!," a third praise the family.
This Morning viewers were in uproar over Michael's claims and showed support for Lee's family
Woolwich terror attack: The brutal murder of Lee Rigby
Thu, May 23, 2013
British Army soldier, Fusilier Lee Rigby of the Royal Regiment of Fusiliers, was attacked and killed near the Royal Artillery Barracks in Woolwich, southeast London.
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Drummer Lee Rigby, of the British Army's 2nd Battalion The Royal Regiment of Fusiliers, was killed in a brutal attack by two men in Woolwich
Lyn said Michael could have false teeth but she would never have her son back
Someone else continued: "@thismorning adejabo or whatever he is called got what he deserved in prison hopefully he will get some more in there (sic)."
A fifth shared: "@thismorning so heartbreaking what happened to this family. My heart goes out to you all. You are so brave Lyn and I admire your strength x."
This Morning continues weekdays on ITV at 10.30am.