Jayson Tatum, left, celebrates with guard Derrick White after making a layup at the buzzer to give the Celtics a 115-114 win over the Brooklyn Nets in Game 1 of their first-round playoff series Sunday afternoon in Boston. Steven Senne/Associated Press

BOSTON — Jayson Tatum has been adamant he didn’t view the Boston Celtics’ matchup with the Brooklyn Nets as a chance to prove anything opposite two of the league’s elite scorers.

His finish in Game 1 said otherwise.

Tatum made a layup at the buzzer on a pass from Marcus Smart to give Boston a dramatic 115-114 victory Sunday in Game 1 of the first-round playoff series.

“When he took that dribble we just kind of made eye contact. He made a great pass,” Tatum said. “It doesn’t get any better than that. A buzzer-beater in a playoff game at home.”

Tatum scored 31 points, the last two on the first buzzer-beater of his career. It was Boston’s first in the postseason since Paul Pierce in 2010 against the Heat.

Tatum’s bucket came after a poised Boston possession in the frantic final seconds. Kevin Durant missed on the other end, and Boston rebounded and raced up the court, electing not to call a timeout.

Jaylen Brown dribbled toward the middle and swung the ball out to Smart. He fired it into a cutting Tatum, who spun around and dropped in his layup just before time expired.

“I’ve always been told you have more time than you realize you have,” Smart said. “I was about to throw it to Al (Horford) off the dribble and I saw JT cut at the last minute.”

All five Celtics touched the ball on the possession.

“I think that’s kind of a microcosm for our season, guys moving the ball being unselfish,” Coach Ime Udoka said.

Brown added 23 points for the Celtics, who host Game 2 on Wednesday. Horford had 20 points and 15 rebounds, and Smart finished with 20 points, including four 3-pointers.

Kyrie Irving scored 39 points, including 18 in the fourth quarter. But the Celtics forced the ball out of his hands the last time Brooklyn had it, and Durant missed a jumper with a one-point lead, setting up the Celtics’ final possession.

Durant had 23 points but shot just 9 of 24.

“They did a good job of forcing me away, then helping in the paint. I just got to be more fundamental in my moves,” said Durant. “I feel like some shots went in an out for me.”

Boston charged out of halftime with a 23-8 run to open an 84-69 lead, sparked by Smart’s dead-eye shooting from beyond the arc.

The Celtics also seemed to tweak their approach to guarding Durant in the half court, fronting him and sending help over the top to limit his driving ability.

Durant and Irving still found ways to score at times, but they had to exert increased energy to get off their attempts.

Boston’s lead didn’t last.

Irving got Brooklyn back into the mix with two straight 3-pointers and a layup early in the fourth to trim Boston’s advantage to 98-97 with just over 9 minutes left. Then, following an empty trip by Boston in which Brown and Horford failed to convert from in close, Durant calmly drained a 3 to put the Nets in front.

Brooklyn increased its lead to 107-102 and had a chance to build on it, but Durant was long with a jumper. Brown found space on the Celtics’ next possession and connected on a 3 from the wing. The Nets turned it back over on an offensive foul on Durant. Smart slid underneath Irving on Boston’s ensuing trip and tied it with a layup.

The score was tied again at 109 with less than 2 minutes left when Durant got a friendly bounce on a jumper to put Brooklyn back on top. Horford’s follow shot tied it again, but Irving was good from deep the next time down the floor give the Nets a 114-111 advantage.

Brown cut the deficit to one with a basket coming out of a timeout with 38 seconds left.

In his latest trip to face his former Boston teammates, Irving received the loudest jeers during pregame introductions and was booed whenever he touched the ball the rest of the way.

Fans also showered plenty of disdain for Bruce Brown, who made headlines last week after suggesting Celtics big men Horford and Daniel Theis might be easy to attack inside without injured center Robert Williams III available to defend the rim.

Horford played the opening 12 minutes as if on a one-man mission to obliterate that notion.

Boston entered with the league’s best defensive rating since the All-Star break and applied early pressure on Durant. He tried to establish himself in the post in the first quarter, but the Celtics blitzed him with backside help defenders, stripping him three times.

Brooklyn finished with seven turnovers for the quarter, but it translated into only a 29-28 lead for Boston.

Horford was active throughout the first 12 minutes, going 3 for 4 from the field with 10 points, two rebounds and a steal.

Boston had to adjust early in the second quarter after Theis picked up his third foul. But things evened out when Andre Drummond was whistled for his fourth foul with 4:58 left in the period.

The Celtics immediately went on a 9-2 run before the Nets clawed back to tie the game at 61 at halftime.

“Stayed with it, took their shot and found a way to finish the game,” Horford said. “End of the day, it’s just getting the win, it doesn’t matter how it was.”

TIP-INS

Nets: Brooklyn finished with 16 turnovers. … Durant and Irving shot a combined 1 for 8 from the field in the first quarter.

Celtics: Outscored the Nets 56-32 in the paint. … New England Patriots owner Robert Kraft and his son, Jonathan, sat courtside.

ELITE COMPANY

Horford is just the 13th player in NBA history to record a 20-point, 15-rebound playoff game at age 35.

TOUGH CROWD

Irving had a moment of frustration in the third quarter when he appeared to flip his middle finger toward Boston’s fans as he ran down the court.

“The same energy they have for me, I’m gonna have the same energy for them. It’s not every fan,” Irving said. “There’s only but so much you can take as a competitor.”