The Nationals failed to take full advantage of their 14 hits, but won their third in a row and moved into a tie with the Los Angeles Dodgers and St. Louis for the most wins (17) in the National League.
Philadelphia reliever Michael Schwimer (0-1), the Phillies' sixth pitcher of the game, retired the first two men he faced in the 11th.
Lombardozzi started the game-winning surge with a single and both Bryce Harper and Jayson Werth drew walks to load the bases. Ramos came on to bat for pitcher Ryan Perry and drove a 1-2 pitch to center for the winning hit.
Perry (1-0) retired the side in order in the top of the 11th to get the victory.
All of Philadelphia's runs came on homers -- a two-run shot by Hunter Pence in the fourth and a solo affair from Carlos Ruiz in the fifth.
Philadelphia had a 3-1 lead going into the sixth, but Jesus Flores produced a sacrifice fly in that inning for Washington and tied the game with an RBI double in the eighth.
Easer Egg Roll brings thousands to White House
Lytro unveils camera that can focus a photo after shooting it