Patrick Wisdom homered as the Cubs ended a four-game losing streak. They had been outscored 20-2 in dropping the first two games of the series at Milwaukee.
Stroman (1-3) earned his first win for his new team in his fifth start. Pitching on his 31st birthday, he struck out five and walked one.
Burnes (1-1) struck out 10 in seven innings, giving up four hits. He retired the first 13 batters before Wisdom homered in the fifth.