Stamkos reached the milestone with an assist on Nicholas Paul's second goal of the game at 7:55 of the second period that gave Tampa Bay a 2-0 lead.
"Just amazing to share it with these guys," Stamkos said. "It's an individual statistic, but there's so many people that have helped me get here, from the players I played with in the past. Obviously, [Martin St. Louis] and [Vincent Lecavalier] and there's so many guys that I started with and you just reminisce, like Teddy Purcell, Ryan Malone, Mike Smith, the list goes on. And then you've got [Nikita Kucherov] and [Victor Hedman] and [Brayden Point] and all these amazing players that I played with. Obviously, the guys I'm playing with now, [Alex Killorn], Paul. Everyone just has a hand, coaching staff.
"It just brings back so many amazing memories, like your parents getting you involved in the game, all that kind stuff, just kind of flashes back. It's one of those things that I don't think hits you till a little later. But just to share that with the guys on the ice, that's something you never dream of as a kid. So, for it to become a reality is pretty awesome."
The 32-year-old forward is the 95th player in NHL history to reach the milestone, and the 48th to do so with one team. He is also the ninth active player to get 1,000 points, joining Sidney Crosby of the Pittsburgh Penguins, Alex Ovechkin of the Washington Capitals, Patrick Kane of the Chicago Blackhawks, Evgeni Malkin of the Penguins, Anze Kopitar of the Los Angeles Kings, Eric Staal of the Florida Panthers, Nicklas Backstrom of the Capitals, and Patrice Bergeron of the Boston Bruins.
Stamkos, who has 15 points (six goals, nine assists) during a nine-game point streak, leads the Lightning in goals (13) and is second in points (28) in 22 games this season.
"All the ups and downs he's had, but you've seen now the last few years when he's been healthy what kind of player he is," Hedman said. "Probably wasn't his prettiest point, but at the end of the day, they don't ask how they just ask how many. So proud of him and we can't wait to celebrate this moment with him."
Selected with the No. 1 pick in the 2008 NHL Draft, Stamkos ranks first in Lightning history in points, goals (494), power-play goals (188) and game-winning goals, (75), second in assists (506), and third in games played (945).
He also has 91 points (43 goals, 48 assists) in 117 Stanley Cup Playoff games and helped Tampa Bay win the Cup in 2020 and 2021.
"I'm sure I'm going to have a lot of messages and I'm going to try my best to get back to everybody," Stamkos said. "It's one of those things where you're just thankful to get this opportunity, to be in the League for that long, to do it with one organization as well, that's special for me. That's something that I was really looking forward to this year, understanding that there were some possible milestones, so to be able to achieve them with these group of guys is pretty cool."
Among his accolades, Stamkos has won the Rocket Richard Trophy as the NHL's leader in goals twice (2010, 2012), has made the NHL Second All-Star team twice (2011, 2012), and has played in the NHL All-Star Game seven times (2011, 2012, 2015, 2016, 2018, 2019, 2022).
NHL.com deputy managing editor Adam Kimelman contributed to this report