Court records show the 28-year-old is facing the third-degree felony charge in Miami-Dade County. Det. Vivian Hernandez said Dumervil and another man were arrested Saturday in Miami Beach, but that no further details were immediately available.
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A spokesman for the Denver Broncos said that the team is aware of the matter and continuing to gather facts.
"This is a very serious allegation, and we will thoroughly review the details while the legal process runs its course," said a statement issued by the team.
Dumervil is a Miami native and one of the Broncos' top defensive players.
Dumvervil led the NFL in sacks in 2009 with a club-record 17. But he missed all of 2010 with a torn pectoral muscle and was hampered last season by a nagging shoulder injury, followed by an ankle ailment. Still, he finished the year with 9 1/2 sacks and 42 tackles, and made the Pro Bowl team.
Dumervil's attorney, Harvey Steinberg, said he expects authorities to clear his client after they conclude their investigation.
"No assault or aggravated assault took place," he said, declining to comment further.