Arismendy Alcantara hit a two-run shot and Anthony Rizzo connected for his 30th homer for the Cubs, who have won four in a row for the first time since June 30-July 4.
Cincinnati was shut out for the 12th time this season. Cueto (15-8) struck out eight in 6 1-3 innings in his second straight loss after winning seven consecutive decisions.
Wood (8-11) struck out five and walked one.