Frank Vatrano scored, and Luongo made 31 saves for Florida (17-19-8), which is 0-4-2 in the past six games.
"I was just trying to keep the guys in it and we were able to tie it in the third and they got a rebound goal off the face-off and that was it, we couldn't recover," Luongo said. "It's going to take a little more desperation. We have to be on top of our game every night, that's how you break out of this. It's going to take a team effort from the goaltender on out."
Loui Eriksson had a goal and two assists for Vancouver (21-21-5), which had lost three in a row (0-2-1).
"Our team game was phenomenal," Canucks coach Travis Green said. "We didn't really give them a lot of chances. I thought Luongo kept them in it the first two periods. Loved our game tonight."
Eriksson made it 1-0 at 12:32 of the second period. After intercepting a backhand pass from Panthers forward Mike Hoffman in Florida's zone, he skated in on a breakaway and waited for Luongo to go down before scoring from a sharp angle on the blocker side. It was his first goal in nine games.
"It hasn't come easy," Eriksson said. "All you can do is just work hard and just keep working and things will turn around. It was definitely nice to score that one."
Panthers coach Bob Boughner wasn't happy with the turnover, one of several in Florida's end.
"We talk about it all the time, composure and puck management and the first goal we have one man back and we try to backhand sauce it through our own slot area and they knock it down and it's 1-0," Boughner said. "Their forecheck was good, they were aggressive, and we weren't clean enough."
Markstrom made one of his better saves on the night with his glove on Nick Bjugstad 1:57 into the third period, but Vatrano tied it 1-1 at 5:29, taking a pass from Henrik Borgstrom while cutting into the slot and scoring on a backhand one second after a Panthers power play expired.
"It's obviously good to score, but at the end of the day, winning is more important than scoring goals," Vatrano said. "We did some good things in that third period and we need to build off that and keep moving forward. We have to get more and more wins, this is a big second half for us."
