Hudler scored the go-ahead goal early in the third period after making it 2-all with 3:37 left in the second. The Red Wings beat Nashville on back-to-back nights, giving them one more point in the division and a league-high 99.
Both teams competed with playoff-like intensity and that led to plenty of checking, shoving, swinging gloves and trash talk.
Nashville went ahead on goals by Alexander Radulov in the first, and Jason Arnott in the second but the Red Wings responded each time.
Nicklas Lidstrom made it 1-1 early in the second and Hudler scored off a rebound late in the period.
On the go-ahead goal, Hudler charged to the net and beat Chris Mason on his short side with a shot from the bottom of the right circle off Robert Lang's pass.
Nashville had a power play with 6:17 left, but didn't get off a shot. Shortly after Mason went off for an extra skater, Kirk Maltby scored an empty-net goal.
Dominik Hasek made 27 saves, helping Detroit improve to 5-1-1 against the Predators. Their last meeting of the regular season is March 29 in Nashville.
Both teams were missing key injured players, such as Nashville's Peter Forsberg and Detroit's Henrik Zetterberg, just as they did in a pair of recent games.
In the previous 10 games, Detroit and Nashville were 6-1-3.
Mason had 31 saves.
Hudler has three goals in two games, including the winner in Detroit's 5-2 victory Tuesday at Nashville.
The 23-year-old centre is making the most of first opportunity to play regularly in the NHL after beginning the season with one goal in 16 games. He has 14 overall in 65 games.
Detroit dominated the third period as it has all season. The Red Wings entered the game scoring an NHL-high 89 goals in the frame, and had outscored Nashville 7-3 in the third previously this season.
Notes: While Hasek is Detroit's No. 1 goalie, Mason is 24-11-2 in 38 games and Tomas Vokoun is 22-9-4 in 36 for Nashville. ... Detroit was without Zetterberg (back), Todd Bertuzzi (back), Dan Cleary (knee), Johan Franzen (upper body), Tomas Kopecky (shoulder), and Danny Markov (upper body), and lost Valtteri Fippula (lower body) during the game. ... Nashville was without Forsberg (upper body), Martin Erat (knee), Scott Hartnell (foot), Scott Nichol (thumb) and Steve Sullivan (back). ... Erat will miss up to four weeks after injuring his right knee colliding with Arnott on Tuesday night.