In an interview with public broadcaster Deutschlandradio, Merkel stressed Volkswagen would now have to provide the "necessary transparency".
"It is of course a dramatic event which is not good," she said.
"But I think the reputation of German industry, the confidence in the German economy, is not so shaken that we are no longer considered a good place to do business."
Volkswagen, a champion of German industry, has admitted that up to 11 million diesel vehicles worldwide have been fitted with the so-called defeat device.
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It then switches off this mode when the car is on the road. Under real conditions, the car spews out far higher emissions than is permitted.
The global scam has wiped more than 40 percent off Volkswagen's market capitalisation and led chief executive Martin Winterkorn to resign.
VW has vowed to get to the bottom of the scandal with an internal probe led by a team of US lawyers.
Today, the company took out a full-page advert in major German newspapers saying: "We will do everything we can to win back your trust".
Bild am Sonntag said the employees told the internal investigation that they had been involved in the affair, which came to light last month.
"Several engineers stated that they installed the deception software in 2008," the newspaper said.
Bild did not reveal their identities or say how many had made the admission.
But it said their statements had so far failed to unmask those who masterminded the scam.
The engineers said the EA 189 engine, developed by VW in 2005, could not have complied with pollution caps and cost targets without the deception.
He told AFP that Volkswagen was working "at full speed" to understand what went wrong but would only speak about the probe publicly when there were "credible findings".