Klose bagged his 50th goal for Germany and his personal 12th in the World Cup, only three short of Brazilian Ronaldo's record 15. The Bayern Munich forward could have even added two more but saw his efforts blocked.
Opposite to the tension before the game, both sides started lack of creativity and inspiration until when a Germany's long cross found dashing Miroslav Klose well, who held off Matt Upson in the box to poke the ball past David James.
At 2-1 down in the second half, Lampard had another chance to level the score but his free-kick hit the bar, again, and went wide this time.
The final stage of the match was all about Germans' break with pace and Mueller's brace were the fine conclusions of two lightening counter-attacks.
In the 67th minute, Bastian Schweinsteiger played a perfect pass for Mueller, who inside the area, smashed it off the body of David James and into the net. The 20-year-old grabbed his third goal in the tournament three minutes later when he whacked in Mesut Oezil's pass along the six-yard box.