Miroslav Klose completed a swift Podolski move four minutes after the restart to take his goal tally to six in four qualifiers and substitute Mario Gomez added another in the 76th minute slotting home from just inside the area.
Winger Podolski completed their win with a fine solo effort five minutes from time to give Germany four wins in as many games.
"We solved our task here tonight. We now have maximum points from our four matches, Turkey surprisingly lost today and that makes us feel comfortable," said Germany coach Joachim Loew.
"We missed chances in the first half and we should have scored earlier but overall I am very satisfied."
Klose, who now needs only 10 goals to join Gerd Muller as his country's top scorer, limped off shortly afterwards, making way for Gomez, who was set up by Podolski for Germany's second goal.
The Cologne captain then turned scorer, storming past six Kazakhs to complete Germany's victory in the 85th minute.
"It was unbelievable what my team did in the first half," said Kazakhstan coach Bernd Storck.
"I thought my players would run out of steam in the second half but they stuck in there. Germany's goals just showed their high individual quality."
