Mikhail Sergachev and Nikita Kucherov scored early goals, Nicholas Paul added an empty-net goal and Victor Hedman had two assists in Tampa Bay's third win in four games. Brian Elliott made 19 saves for the three-time defending Eastern Conference champion Lightning, who rebounded from a loss at Los Angeles one night earlier during their three-game California road swing.
Hagel scored a goal in his third consecutive game for the Lightning when he fired a shot through traffic and past the glove of John Gibson, who stopped 26 shots in rebuilding Anaheim's sixth consecutive loss (0-5-1) since a season-opening win over Seattle.
Troy Terry had a goal and an assist for the Ducks, and Trevor Zegras scored his fourth goal as the Ducks returned from an 0-4-1 road trip with another loss. Terry and Zegras both also took high-sticking penalties in the third period.
Zegras put the Ducks ahead late in the first period with a vicious one-timer on a pass from Dmitry Kulikov. But Sergachev evened it later in the first with a wrist shot through traffic, and Kucherov claimed the lead for Tampa Bay 1:26 after that with a one-timer off a clever cross-ice pass from Hedman.
Anaheim struggled for shots on goal and mere possession throughout the first two periods, yet Terry still tied it late in the second when he stole the puck from Philippe Myers in the circle and whipped a quick shot for his fourth goal.
The Ducks went scoreless on two power play opportunities, stretching their drought to 0 for 19 since the season opener.
Anaheim F Pavol Regenda and D Nathan Beaulieu were healthy scratches, with Brett Leason and Simon Benoit drawing in. Regenda has two assists in five games after surprisingly making the Ducks' roster out of training camp.
Tampa Bay forward Corey Perry returned to Honda Center for his fourth career game against the Ducks. The 2011 NHL MVP spent his first 14 seasons in Anaheim, winning a Stanley Cup ring in 2007. He is second in franchise history with 372 goals and 988 career games, and he is the Ducks' career penalty minutes leader with 1,110.
Lightning: At Sharks on Saturday.
Ducks: At Golden Knights on Friday.
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Greg Beacham, The Associated Press