The incident happened at Fiamma, a business on North Forsyth Road near Hanging Moss Road near Orlando, the Orange County Sheriff's Office (OCSO) said, calling it a "tragic incident".
Four died at the scene of business. One victim succumbed to his injuries at the hospital.
The 45-year-old shooter - a former "disgruntled employee" who was fired in April - then killed himself, Orange County Sheriff Jerry Demings said.
"OCSO working shooting scene that has stabilised. Multiple fatalities. Situation contained," the Sheriff's Office said in a tweet.
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