Moore scored twice during New York's four-goal third period and the Rangers sent the defending Stanley Cup champion Tampa Bay Lightning to their fifth straight loss with a 5-2 victory on Thursday night.
"They're a talented hockey club, and we looked forward to this game as a good test for us to see where we're at," Moore said.
Henrik Lundqvist had 23 saves for the Atlantic Division-leading Rangers, who have won four consecutive road games. Moore scored the tying goal Wednesday with three seconds left in regulation and New York went on to beat Florida 4-3 in a shootout.
"Huge win for us," Lundqvist said. "We knew for sure it was going to be a tough game for us. I think we played smart. We didn't let them have too many turnovers."
Jason Ward ended a 14-game goal scoring drought to give New York a 2-1 lead at 4:40 of the third. Ward scored on the rebound after Lightning goalie John Grahame made a pad save on Blair Betts' shot. Moore had a power-play goal at 7:18 before making it 4-2 on a breakaway backhander with 4:12 remaining.
"I feel good about being able to contribute and to be able to come out on top tonight," Moore said. "We looked forward to this, playing the Stanley Cup champions."
Marcel Hossa ended the scoring with an empty-net goal in the final minute, helping the Rangers (10-5-3) go five games over .500 for the first time since Dec. 31, 2001.
Dan Boyle pulled Tampa Bay within 3-2 on a power-play goal with 8:47 left. The Lightning's losing streak is their longest since they dropped six straight - including an overtime defeat to start it - from March 24-April 3, 2002.
"Obviously, we've got a lot of guys on this team that can make plays," Boyle said. "But when you're losing and you're struggling, it's going to take an ugly win and some ugly goals. That's what it's going to take."
Lightning coach John Tortorella said for a good portion of the game New York was quicker and much more determined in the small details.
"Until we decide to get back to the details of the game and be consistent with our effort in the details, we will not get out of this," Tortorella said. "We may win a couple here and there, but we will not be the team that we should be."
Ville Nieminen put the Rangers ahead 1-0 at 11:14 of the first. He took a pass from Hossa just inside the blue line and skated in alone down the slot before scoring his first goal in 11 games.
Grahame kept it a one-goal game when he made a glove save during a breakaway by Petr Prucha with two minutes left in the first. Grahame finished with 15 saves.
Martin St. Louis tied it at 5:13 of the second when he deflected Vincent Lecavalier's shot from the right circle. The goal was first given to Lecavalier, but was changed approximately 30 minutes after the game. Vinny Prospal assisted on the goal, giving him eight assists and 12 points during an eight-game point streak.
St. Louis had not scored a goal in his previous five games.
The Rangers went without a shot for the first 13 1/2 minutes of the second. New York then had one shot during a 5-on-3 advantage that lasted 1:25 of the period.
"We can take pride in the fact that we certainly played with them, kept up with them and ultimately won the hockey game," New York coach Tom Renney said.
- Tampa Bay's 20-year old goalie Gerald Coleman, recalled Wednesday from Springfield of the AHL, served as Grahame's backup and became the first member of the NHL diversity program to dress for a regular-season game.
- New York Yankees owner George Steinbrenner watched from a suite.
- Thursday marked the seventh anniversary of the Rangers' 10-2 win over Lightning. Tampa Bay entered that game tied for its best record through 14 games (6-6-2), but the loss started a 2-17-1 stretch.