Jose Fernandez (0-2) gave up four runs and six hits for the Marlins, who are off to a franchise-worst 4-16 start after an offseason salary purge. Joe Mahoney had two hits and two RBIs for Miami.
The teams were supposed to open their series on Monday night, but the latest snowstorm put that one on ice. It was the third home game the Twins have had to postpone because of weather this year there were just five in the first three seasons of of Target Field.
Grounds crew members and ballpark personnel worked through the night to clear the heavy, wet snow from the field, seats and stairways.
The temperature at first pitch was 38 degrees, but the field, which has heater coils underneath it to combat cold temperatures, was lush and green.
Miami took a 2-1 lead in the fourth on a single from Mahoney but Fernandez, initially was scheduled to start the second game, gave it all back in the bottom half.
Chris Parmelee and Trevor Plouffe started the inning with singles and Arcia stood and admired as his homer landed just short of the plaza beyond the right-field seats for a 4-2 lead.
Miami had the bases loaded with one out in the eighth after Jared Burton hit Placido Polanco and Giancarlo Stanton with pitches. But the Marlins were able to get one run across, on a groundout from Greg Dobbs.
First-year Marlins manager Mike Redmond got a nice ovation before the game. Redmond spent five years with the Twins as Joe Mauer's backup catcher. The gregarious Redmond was a favorite in the clubhouse and is etched in Twins lore for his penchant for stripping down and walking around the locker room area naked when things weren't going well, his way of trying to insert levity.
"He just knows a lot about the game," Mauer said. "And the way he related to younger players, especially myself, you kind of knew that he'd be really good at being a manager later on. It's really exciting for me to see him over there, and it should be fun."