The Good Morning Britain host said the attack in Brixton, South London, had a "traumatic effect" on her.
She opened up about what happened during a debate about a violent assault on a female police officer.
"I got mugged once by a guy with a knife and my instinct was to run after him", said Susanna.
"It's not rational and obviously it was dangerous, but he got scared and dropped my bag.
"He slashed my bag off me and cut through my coat. I was incandescent. I ran around 100 yards after him.
"He ran up over a bridge because I was absolutely furious. I followed him up over the bridge and saw him shaking out my bag.
"He ran off. He took the cash out of my bag, but I got the bag back, which was obviously broken, and my phone and my keys."
Susanna agreed the historic attack had had a "traumatic effect" on her for a while afterwards.
The crook was never caught after Susanna admitted being unable to pick him out of an ID parade.
"I think it was red mist, she said.
"I wasn't really looking at him. I was just acting on instinct
I don't think I would have chosen to do it, it was because I was propelled to do it.
"I just wouldn't let him get away with it."
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