It was a bit of a frustrating opening half an hour for the Germans who struggled with wasteful finishing and sloppy passes.
Defender Phillipe Lahm decided to take matters into his own hands breaking down the left flank.
When he found space on the outside of the box he unleashed a trademark swerving shot to beat keeper Michalis Sifakis.
Lahm’s attacking tendencies caught him out ten minutes after halftime though.
Dimitris Salpingidis easily beat the Germany skipper on the break and delivered a low teasing ball across the face of goal for Giorgos Samaras to level.
Germany Coach Joachim Loew’s bold decision to completely overhaul his forward line started to bare fruit later the second half as the nationalmannschaft dominated.
Sami Khedira met Jerome Boateng’s cross with an impressive rasping volley on 61 minutes before Miroslav Klose, in for Mario Gomez, headed in another four minutes afterwards and then Marco Reus struck the fourth on the 74th minute.
Salpingidis converted a spot-kick a minute from time to claim a minor consolation for the Greeks.