"It was a pretty crazy game," DeBrincat said. "It felt more like a summer hockey game with that high scoring. It's good we got the win. That's all that matters. Move on from here."
Kane had a goal and two assists for Chicago, which led 5-4 at the end of the first period. He has 14 goals and 26 assists during his point streak, the longest in the NHL this season; Mike Hoffman had a 17-game streak for the Florida Panthers from Oct. 13-Nov. 21 (10 goals, 10 assists).
[WATCH: All Senators vs. Blackhawks highlights]
The game was tied for most goals in the NHL this season; the Calgary Flames defeated the Columbus Blue Jackets 9-6 on Dec. 4.
"Man, I think that's probably what you would identify as a goalie nightmare, for both sides," said Blackhawks goalie Cam Ward, who allowed four goals on 28 shots in relief of Collin Delia (seven saves). "That's pretty crazy, to be honest with you. Obviously, the two points at the end of the night are the most important thing.
"But at the same time, we realize we can't play like that if we want to be successful. But you take it for what it's worth. The fans got the full value of their ticket tonight, and it is what it is."
Video: Enterprise Hat Trick: DeBrincat nets fourth of career
Dylan Strome had a goal and two assists, and Jonathan Toews and Brandon Saad each had a goal and an assist for Chicago (25-26-9), which has won nine of the past 11 games and trails the Minnesota Wild by one point for the second wild card into the Stanley Cup Playoffs from the Western Conference.
Colin White had two goals and an assist, and Thomas Chabot scored two goals for the Senators (22-32-5), who are 3-3-0 in the past six games.
"Yeah, even if you win it, it's a weird one," Ottawa coach Guy Boucher said. "It's one of those ones, it's been 22 years, I've seen a lot of weird games, and that's one of them. And you know it right away. Both teams are pretty much equal to what's happening, and you feel it's going to be a toss-up, whoever makes the last mistake, and that's what it was."
Toews gave Chicago an 8-5 lead when he scored on the power play at 3:51 of the third period. DeBrincat had an assist for his first five-point game in the NHL.
Chabot scored at 9:01 to make it 8-6 and again at 14:43 to get Ottawa to within 8-7.
Video: OTT@CHI: Senators, Blackhawks score nine goals in 1st
The Blackhawks killed a hooking penalty against defenseman Slater Koekkoek at 18:20 of the third.
DeBrincat scored his third goal at 8:19 of the second period to give Chicago a 6-5 lead, and Gustav Forsling scored at 10:31 to make it 7-5.
Bobby Ryan gave the Senators a 1-0 lead at 2:06 of the first period, shooting the puck between Delia's pads on the power play.
Rudolfs Balcers scored 34 seconds later to make it 2-0 at 2:40.
DeBrincat scored on the power play at 3:54 to make it 2-1. He scored his second of the night at 5:07 to tie the game 2-2.
White gave the Senators a 3-2 lead at 7:55, and Delia was pulled by Blackhawks coach Jeremy Colliton.
Kane scored his 36th of the season at 12:36 to tie it 3-3.
Video: OTT@CHI: Kane buries a wicked wrister
Strome (13:22) and Saad (14:53) scored 1:31 apart to give Chicago a 5-3 lead, but Mark Stone got Ottawa to within 5-4 with his 28th goal at 17:46.
Senators starting goalie Anders Nilsson (nine saves) was pulled after Strome's goal. Craig Anderson made 26 saves on 30 shots in relief in his 600th NHL game.
White tied it 5-5 at 1:32 of the second period on his second goal of the game.
Video: Dunkin' NHL Comebacks: Blackhawks hold off Senators
They said it
"No, definitely not the way things were drawn up. That's the way the game goes sometimes, and you just kind of roll with the punches here. Just it is what it is, and you know, it's definitely memorable. Had family here, but at the same time, not the way we drew it up." -- Senators goalie Craig Anderson on his 600th NHL game
"When somebody made it 8-7, I don't know if it was the other team, I think it was the other team, but someone was like, 'It's 8-7 right now.' And we're looking around like, 'Wow, it's 8-7.'" -- Blackhawks center Dylan Strome
Need to know
Kane is the fourth player in NHL history with an assist streak of at least 17 games, joining Wayne Gretzky (23 games), Adam Oates (18) and Paul Coffey (17). He holds the Blackhawks record for the longest point streak, 26 games (16 goals, 24 assists) from Oct. 17-Dec. 13, 2015. … DeBrincat has 22 points (nine goals, 13 assists) in the past 12 games. ... Chicago matched its season high for goals (8-5 win against Washington Capitals on Jan. 20). … Senators center Matt Duchene had two assists. He has 10 points (six goals, four assists) in the past seven games and 21 points (12 goals, nine assists) in his past 17. … Ottawa forward Chris Tierney set up Balcers' goal and has seven assists in a six-game point streak.
Senators: At the New Jersey Devils on Thursday (7 p.m. ET; MSG+, RDS2, TSN5, NHL.TV)
Blackhawks: At the Detroit Red Wings on Wednesday (7:30 p.m. ET; NBCSN)
Video: DeBrincat, Kane propel Blackhawks over Senators, 8-7