"After whatever match, or success, or goal he remains very modest and even after 100 caps he has a burning ambition," Low told reporters before their World Cup quarter-final against Argentina on Saturday.
Klose, who has scored 12 World Cup goals in three finals to draw level with Pele, three behind top scorer Ronaldo on 15, came into the tournament on the back of his worst season after netting only three league goals for Bayern Munich.
"When someone wins 100 caps then that speaks volumes about the quality of the player," said Low.
"In the past few years Klose has not allowed himself to get out of his rhythm during a bad phase even if his body language painted a different picture," said Low, who is expected to deploy the 32-year-old as his lone striker for the third time in this tournament.
"He deserves a big compliment because he has scored 50 goals. Scoring in every second match means very high level of play. I think what he has been able to do as well is be self-critical and be extremely modest," Low said.
"100 caps is something superb," said Klose on the German federation website. "The best thing is that it is not yet over."
