Strasburg scattered six hits with a walk and six strikeouts, ending his spring with a 4.20 ERA in four starts. He will next face the Mets on Thursday.
Sabathia permitted three hits and two walks in a rocky first inning before settling down to complete 5 1/3 frames. Preparing for his season debut on Thursday against the Blue Jays, the left-hander permitted three runs and five hits, walking three and striking out three.
Returning from right knee surgery, Sabathia wrapped the Grapefruit League campaign with an 8.10 ERA in three starts, spanning 10 innings. Sabathia allowed 14 hits, including three homers, while walking three and striking out nine.
Chase Headley had a fourth-inning RBI double for the Yankees, while Mike Carp added a three-run homer in the seventh for Washington. The two clubs will meet again on Saturday at Nationals Park in Washington before beginning the regular season.
"Now we get back to our home park, which is good," Nationals manager Matt Williams said. "Give everybody a little shot of energy in that regard. We're ready to start, we're ready to go. Give Max Scherzer the ball on Opening Day and see what we get."
Bryan Hoch is a reporter for MLB.com. Follow him on Twitter @bryanhoch and read his MLBlog, Bombers Beat. This story was not subject to the approval of Major League Baseball or its clubs.