Jagr, who scored his first goal of the season 14:10 into the second period of the Washington Capitals' 4-2 win at BB&T Center, trails Wayne Gretzky (894) and Gordie Howe (801) on the all-time list.
"That's nice, but I'd rather win," Jagr said. "So it's kind of tough."
In 1,633 games, with the Panthers, New Jersey Devils, Boston Bruins, Dallas Stars, Philadelphia Flyers, New York Rangers, Capitals and Pittsburgh Penguins, Jagr has 1,870 points.
Jagr, 44, who is playing his 23rd NHL season, is 17 points behind Mark Messier (1,887) for second all-time. Gretzky is first with 2,857. Jagr is sixth in assists (1,120), 15 behind Paul Coffey for fifth.
"It's always good to get the first one," Jagr said. "A good play, a good pass, I was wide open in the slot. ... I had a lot of chances in the games before but I couldn't put the puck in. I'm glad I did tonight."