Cueto needed 108 pitches to get through six innings, allowing seven hits and three runs. He walked three and struck out six. Aroldis Chapman allowed one hit and had two strikeouts in the ninth for his second save.
Strasburg (1-1) allowed nine hits and six runs with four walks and five strikeouts in 5 1-3 innings. He threw 114 pitches, 73 for strikes.
Bruce, Shin-Soo Choo, Xavier Paul and Brandon Phillips each had two hits to back Cueto (1-0) and help the Reds win the rubber match of their three-game series with Washington. They finished 4-2 at home against the Nationals and Los Angeles Angels, two teams expected to contend this season for post-season berths.