Vladislav Namestnikov scored an empty-net goal at 17:18 for the 4-1 final.
It was Detroit's first victory since a 3-2 overtime win against the Columbus Blue Jackets on Jan. 19.
"You need results to build confidence," Blashill said. "I talk about process lots, but I talked about this today, ultimately you need results to build confidence. Getting the result today is huge, and I think we played the type of game we've got to play to be successful. We competed really, really hard and we defended and checked well. Those are the things we're going to have to do to be successful, and I also think we got to their net.
"We scored goals because we were hard at their net. Ultimately, all the goals are scored around the net, and we did a good job there and then you get the timely goaltending."
NOTES: Smith completed the Gordie Howe Hat Trick (goal, assist, fighting major) when he fought Panthers defenseman Aaron Ekblad at 12:38 of the third period. … Red Wings forward Anthony Mantha was a healthy scratch. He has scored seven points (four goals, three assists) in 12 games and signed a four-year contract Nov. 3, 2020. … Detroit forward Luke Glendening sustained an upper-body injury in the first period on a hit by Florida defenseman Radko Gudas. Blashill said Glendening "seemed like he was in a good spot" after the game and expects to have another update Tuesday morning. … It was the first time the Panthers trailed after the second period this season.