The event was taking place at the University of South Florida with around 700 in attendance.
At about 4.45pm the woman, named by police as 23-year-old Victoria Royal, removed her shirt and began running around the venue.
Ms Royal refused demands from university police to replace her shirt.
She was wrestled to the ground and restrained by several officers.
Immediately after she was arrested on misdemeanour charges of exposure of sexual organs and resisting a police officer without violence.
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Ms Royal had writing along her arms and torso which was visible during the streaking, though it is unclear what it said.
The motive for her actions are not known.
Mr Sanders was supporting fellow Democrat Andrew Gillum’s campaign to become governor of Florida, a key swing state and electoral battleground.
Mr Gillum is currently polling neck and neck with Republican rival Ron DeSantis, a close ally of President Trump.
During the rally Mr Sanders described health care as a “human right”, demanded action to tackle climate change and called for a $15 per hour minimum wage.
He delivered a similar speech at the University of Central Florida (UCF), in Orlando, on the same day.
At the UCF rally he claimed: “The reason Trump will be here is he is nervous because his candidate might lose.
“And your job is to make Trump very very nervous.”
Whilst Mr Sanders lost the Florida 2016 Democratic presidential primary to Hillary Clinton by 64 to 33 percent he retains a significant campus following.
Thus far at the University of South Florida 1,385 registered Democrats have voted, as opposed to 299 Republicans and 526 who are unaligned.
President Trump also attended a Florida rally last night, with his supporters gathering in the southern town of Estero.
The President described the upcoming election as a choice between “greatness and gridlock”.
He added: “The Democrats are going absolutely crazy folks.”