Davis finished with 31 points. He scored Los Angeles’ last 10 points and had 22 in the second half to help the Lakers avoid becoming the latest victim of a Denver comeback.
The Nuggets had trailed by as much as 16, but Nikola Jokic scored 11 straight Denver points down the stretch, including a basket that made it 103-102 with 20 seconds to play.
Alex Caruso then missed a 3-pointer and Jamal Murray blocked Danny Green‘s shot out of bounds with 2.1 seconds to play. Rajon Rondo inbounded under the basket and found Davis curling toward the sideline, and the All-Star forward swished it to put the Lakers halfway to the NBA Finals.
LeBron James had 26 points and 11 rebounds for the Lakers.
Jokic had 30 points and nine assists, and Murray scored 25 points.
Game 3 is Tuesday night.
James carried the Lakers early, with 20 points in the first half. But they went more in the second half to Davis, who had 37 in an easy Game 1 victory.
This one was much tighter and appeared it would be another huge rally by the Nuggets, who were down 16, 19 and 12 in the final three games against the Clippers, when they erased a 3-1 deficit.
They had climbed all the way out this hole when Murray scored for an 87-86 lead with 7:26 to play. But Green and Rondo hit 3-pointers and, after a basket by PJ Dozier, Kentavious Caldwell-Pope made another 3 to make it 95-89.
It was 100-92 after another 3 by Davis before Jokic answered with nine straight, tipping in a miss by Murray to give Denver a 101-100 edge with 31 seconds to play. Davis put the Lakers back on top with a basket in the lane, but Jokic backed him down on the other end to put the Nuggets back on top with 20 seconds remaining.
James started 5 of 6 while the rest of the Lakers missed their first 12 shots before Green’s layup 7 1/2 minutes in gave them a 14-12 lead.
The lead was five midway through the second quarter before the Lakers had an 11-0 run that featured a steal and dunk and a 3-pointer by Alex Caruso that pushed it to 52-36 with about 4 minutes remaining in the half. Denver trimmed it to 60-50 at the break.
Nuggets: Denver is 8-8 in this postseason. … Michael Porter Jr. had 15 points. … Dozier was 1 for 5 from the foul line in the fourth quarter.
Lakers: Los Angeles missed nine of its first 10 shots. … Green and Caldwell-Pope both scored 11 points.