Hendricks (12-7) gave up two runs and four hits, striking out eight and leaving with a 2.19 ERA. He has allowed no more than three earned runs in 17 straight starts.
There Cubs relievers took over for the NL Central leaders, with Aroldis Chapman pitching the ninth for his 29th save in 32 chances.
Willson Contreras homered and Ben Zobrist drove in two runs as the Cubs won for the 22nd time in 27 games. At 81-45, they are 36 games over .500 for the first time since ending the 1945 season at 98-56.
The Padres have dropped nine of their past 12. Paul Clemens (2-3) took the loss.
