Strasburg allowed three runs, two of them earned, all in the second inning. He gave up five hits overall, striking out three and walking one.
Strasburg finished spring training with a 1-4 record. He'll start on April 5 against the Chicago Cubs at Wrigley Field.
Cardinals starter Jake Westbrook gave up one run and two hits in 5 2-3 innings.
Daniel Descalso doubled twice and drove in four runs. Chad Tracy homered for Washington.