Andrew Brunette had a goal and an assist in the Wild's fifth consecutive victory.
Dan Ellis gave up four goals on 28 shots in two periods of goaltending for Nashville. Pekka Rinne played the third period and allowed one goal on 11 shots.
Erat scored on a power play in the first period to give the Predators a 1-0 lead. The advantage vanished near the end of the period when Ebbett and Sheppard scored 1:32 apart to put Minnesota ahead 2-1.
The Wild took over and extended their lead to 5-1 on a power-play goal by Belanger at 3:27 of the third period.
Nashville rallied for a pair of goals in the third period by Arnott at 9:05 and Goc in the closing seconds.