Lottery officials say two tickets purchased in those states matched all six numbers drawn Tuesday night.
The winning numbers are: 11, 19, 24, 33 and 51 with a Mega Ball of 7.
The jackpot is the sixth-largest lottery prize in U.S. history, with a lump-sum option of $224 million.
Florida lottery officials say their winning ticket was sold at a Sunoco convenience store in Merritt Island. In a tweet, Maryland lottery officials say the winning ticket there was sold in Charles County, south of Washington.
Mega Millions changed its rules in October to help increase jackpots. The game is played in 43 states, the District of Columbia and the U.S. Virgin Islands.