Ian Desmond had two hits and two RBIs, and Ryan Zimmerman (3 for 4) hit a solo homer and scored three runs for Washington, which began play trailing Cincinnati by 5 1/2 games for the final NL wild card.
Strasburg was scratched after experiencing forearm tightness during a throwing session Thursday in New York. Ohlendorf (4-0), who recently moved to the bullpen, stepped in and allowed a run on five hits over five innings.
Kyle Kendrick (10-13) was charged with six runs on eight hits.
Washington's Denard Span singled, extending his hitting streak to 24 games.
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