Dodgers' manager Dave Roberts praised Kershaw's precision and focus en route to the 2,000-strikeout record, while hinting that No. 3,000 might come even faster.
But Bellinger had the biggest hit after lining a 1-2 fastball from Feliz (1-5) into the right-field bleachers to break the 1-1 tie.
The combined 42 strikeouts set a National League record. Clayton Kershaw got the spotlight for recording his 2,000th strikeout, but Kenley Jansen also hit a milestone here with four Ks of his own: he set the record for most strikeouts to begin a season without recording a walk. The Dodgers hitters struck out 16 times which is three less than their season high. He finished with 11 strikeouts - tying a career high - in eight innings of work.
Kershaw has struck out at least four batters in every start since May 17, 2014, a stretch of 88 starts. Hall of Famer Randy Johnson reached the mark in his 262nd career game, according to Elias Sports Bureau.
Chris Taylor launched a ninth-inning, go-ahead grand slam to beat the Brewers 10-8 on Saturday.
The Dodgers acquired LHP Jason Wheeler from the Minnesota Twins for cash considerations and optioned him to Triple-A Oklahoma City. Davies gave up two runs on six hits over five innings in that contest and is 0-1 with a 5.56 ERA in two previous meetings with the Dodgers.
OUR PREDICTION: The Dodgers are 6-1 in their last seven games against the Brewers and have won four of their last five games in Milwaukee. He's coming down from a season in which he posted a 1.69 ERA, the lowest of his career, paired with an 0.7 BB/9 and 10.4 SO/9 over 149 innings.