Media outlets across the globe had reported that several iPhone 6 owners had complained of handsets becoming misshapen after being carried in trousers pockets without a case.
Several of the US firm's rivals have also helped publicise the claims.
Apple said nine customers had told it their iPhone 6 Plus phones had bent.
In a statement the company noted that the handsets' shells had been constructed out of "anodised aluminium, which is tempered for extra strength" and also featured stainless steel and titanium parts to reinforce the areas of the phones likely to experience the most stress.This image was posted to the MacRumors website by a user nicknamed iBoost621
"We chose these high-quality materials and construction very carefully for their strength and durability," it added.
"We also perform rigorous tests throughout the entire development cycle.
"iPhone 6 and iPhone 6 Plus meet or exceed all of our high quality standards to endure everyday, real life use.
"With normal use a bend in iPhone is extremely rare and through our first six days of sale, a total of nine customers have contacted Apple with a bent iPhone 6 Plus. As with any Apple product, if you have questions please contact Apple."
The BBC understands that one of the checks that Apple had carried out before launching the models was a "sit test", which is designed to simulate the effects of a user sitting down on a hard surface with the phone in their back pocket thousands of times over the course of several years.
The company also carried out a torsion test, which involved clamping a phone at both ends and then applying a twisting force 8,000 times.Stock drop
Apple's share price has fallen following the publicity generated by users posting photos of bent iPhones to the internet.Apple's smartphone rivals have made fun of its problem
News that it had also pulled an iOS 8 operating system update after iPhone 6 users complained it made their phones unable to make or receive calls had also caused concern.
However, one analyst highlighted that the company had been much quicker to respond to reports about bending than it had back in 2010, when customers complained about the iPhone 4 dropping calls when gripped on its left-hand side.
"It took too long in the antenna case - I don't know if this is organisational memory or not, but here Apple is going out and saying it did do tests and is stating the facts," said Ken Dulaney, who covers the mobile phone sector for the research firm Gartner.
"But this is probably something Apple has to look into more.
"It probably did all the tests it said it did - I don't ever find that Apple really lies about anything - but I think the people reporting the problem aren't lying either."
Apple's competitors have taken advantage of its troubles.
The official Twitter accounts of LG, HTC and Samsung have all posted messages alluding to the controversy, with LG going so far as to use the hashtag "bendgate", which other members of the public had used to refer to the claims.Record demand
Apple had previously announced that it had sold more than 10 million units of the iPhone 6 and its larger sibling the iPhone 6 Plus.
"While our team managed the manufacturing ramp better than ever before, we could have sold many more iPhones with greater supply and we are working hard to fill orders as quickly as possible," its chief executive Tim Cook said in a press release on Monday.Chief executive Tim Cook had earlier highlighted "record" demand for the new iPhones
It highlighted the "all-new dramatically thin" design of the handsets - a factor some users had speculated might be the cause of them bending.
However, it has also been pointed out that handsets by Sony, Samsung, Blackberry and others have also bent in the past, and several analysts have cautioned that it was too early to say if the incidents involving the new iPhones were more widespread.