The Senators lead the Eastern Conference quarter-final series 3-2.
Now, it's off to Boston Sunday where the Senators will try to finish the series - again.
Kuraly scored the victor at 10:19 of the second overtime, stunning the 19,209 on hand at Canadian Tire Centre.
"I was just at the tail end of it", Kuraly said.
The team that gets closer to a full 60 minute game from all 18 skaters and maybe more importantly the goalie, as well as the ability to overcome adversity is going to come away with this one. "I don't know how to explain it any better than they're pushing, we're pushing and it goes to double overtime and anything can happen".
Ottawa scored just 30 seconds into the period to push their lead to 2-0 when the Bruins defense was caught flat-footed.
"You miss most of the last two years, and you keep working on it, and it's just great to get that opportunity and be able to put it away like that". Up to that point, the Senators had been making life hard for the Bruins but they simply weren't able to score on Rask.
On a power play, Bobby Ryan took advantage when Zdeno Chara inadvertently screened Tuukka Rask.
"I think we played well enough to win that game tonight", defenseman Matt Hunwick said, per the Toronto Star's Bruce Arthur. "It's not because we started playing differently, they just scored". At times, Rask was magnificent, keeping the Boston Bruins hopes alive. The Bruins challenged the call to no avail.
The Bruins led early in Game 6, but a pair of second period goals by the Senators changed the entire complexion of the contest.
There were portions of Game 5 where the Bruins looked more determined and Ottawa didnt have a response.
The Senators outshot the Bruins 10-6 in the opening 20 minutes.
Anderson made 28 saves in Game 6 while Rask made 26. Kuraly scored his first National Hockey League goal late in the second period to tie the score at 2-2 before before delivering the decisive tally midway through the extra session, sweeping in a backhand off a rebound.
This is getting a little too far ahead, but even if we assume the Capitals will build off their Friday night OT win, the fourth extra-period battle between the teams this postseason, we can not assume the Maple Leafs won't take the series to seven games.
"It (retirement) is something everyone's going to have to deal with one day", said the 32-year-old forward, who was injured in the fourth game of last season and didn't come back until four games left in this one.
Overall, the Bruins had 11 players make their postseason debuts in the series, experience the organization hopes will pay off moving forward.
Despite the win, Boston lost center David Krejci to a lower-body injury when he was checked by Ottawa's Chris Wideman in the first period. The Capitals survived a scare when captain Alex Ovechkin left the game late in the first period with an apparent left leg injury, but he returned in the second. C Tommy Wingels, a healthy scratch since Game 1, returned to the lineup.