McDavid, who entered play Saturday with 148 points, got two in the first period of a
6-1 win against the San Jose Sharks
to reach 150. He assisted on a Ryan Nugent-Hopkins goal at 5:46, then scored at 18:16.
McDavid also scored in the third period.
The Oilers center has 64 goals and 87 assists in 80 games and is the first player with at least 150 points since Mario Lemieux had 161 for the Pittsburgh Penguins in 1995-96.
"I haven't put a ton of thought into it," McDavid said.
McDavid leads the NHL in scoring, 27 points ahead of teammate Leon Draisaitl, who is second with 124 (51 goals, 73 assists). He has led the NHL in scoring each of the past two seasons and four times in the past six.
McDavid, who is Oilers captain, is the 17th player and sixth different player to have at least 150 points in an NHL season. Wayne Gretzky holds the NHL record with 215 in 1985-86 with Edmonton and had at least 150 points nine times. Lemieux did it four times. Steve Yzerman (155 with the Detroit Red Wings in 1988-89), Phil Esposito (152 with the Boston Bruins in 1970-71) and Bernie Nicholls (150 with the Los Angeles Kings in 1988-89) are the only other players to do it.
"The guys kind of put a little video together of all the other five guys that have done it," McDavid said. "It kind of hit me. That was special of them to do. To hear from all five was amazing. It meant a lot."
McDavid became the 22nd NHL player, and fourth active, to score at least 60 goals in a season when he did so on March 22 and scored his 300th NHL goal on March 30.
"A special player joined an elite group of players in the history of the game," Oilers coach Jay Woodcroft said. "Obviously what drives him is making sure that the team wins. That's a big reason why we won today.
"It was very nice of all of them to make time to do [the video]. [McDavid] joined an elite club and we all got to watch it and it was pretty special. ... It was a special moment for our team and him personally."
Since being selected by Edmonton with the No. 1 pick in the 2015 NHL Draft, McDavid leads the League with 848 points (303 goals, 545 assists) in 567 games, 32 fewer games than Draisaitl, who is second in that span with 731 points (303 goals, 428 assists).
"He's the sixth member, right?" Oilers forward Zach Hyman said. "I think that says it all right there. Especially in our day and age right here. ... I can't say enough things about him. Obviously just the best player in the world and just continues to push his own envelope and continues to make himself better and make our team better."
McDavid said his parents would be the first people he would call after the game.
"They mean a lot to me and my dad's always watching, my mom is always watching too when it's not too late," he said. "So I know she'll be up today. Just always good to hear from them."
NHL.com independent correspondent Chelena Goldman contributed to this report