"On my own and on your behalf, I have assured Mr. President (Bach) that we will do our best, and our athletes and fans will do their best too, so that both participants and guests feel themselves comfortable at Sochi Olympics regardless of their ethnicity, race or sexual orientation," Putin said. "I would like to underline that."
Preparations for the Sochi Olympics have been overshadowed by international criticism of a recently enacted Russian law outlawing "propaganda of nontraditional sexual relations among minors." Many worry that law may apply to gay athletes and visitors to the games.
The IOC has said it received assurances from the Russian government that it will respect the Olympic Charter, which prohibits discrimination of any kind at the games. Gay rights groups have accused the IOC of not doing enough to pressure Russia on the issue.
Bach, who also had a one-on-one meeting with Putin on Monday, voiced confidence that Russia will deliver a successful games.
Making his first trip to Sochi since being elected head of the IOC last month, Bach told Putin he was deeply impressed with the amount of work Russia has done to prepare for the Feb. 7-23 games. Bach said he expects the games will be held on a "magnificent level."
Bach asked if there would be enough snow for the games. The city of Sochi is a balmy, palm-lined Black Sea resort, while the snow events will be held in the nearby Krasnaya Polyana mountains.
Russian Deputy Prime Minister Dmitry Kozak, who is in charge of preparations for the Olympics, said organizers have stored 24.7 million cubic feet of snow as a contingency in case of lack of snowfall.
"And more will come we hope," Putin said.
Putin and Bach opened a new railway station in Sochi that will serve as an important transit hub during the Olympics, linking the coastal zone with the mountain venues.
Russia is spending more than $50 billion on the Olympics, Putin's pet project. He said Monday the Olympic construction is largely complete, with only some details remaining to be completed.