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MOSCOW — President Vladimir V. Putin on Saturday eased a sweeping ban on public protests in Sochi starting Tuesday and continuing through the Olympic and Paralympic Games that end in March, though any demonstrations will require approval in advance from the authorities.

The ban, which Mr. Putin ordered in August, had prompted criticism from human-rights organizations and expressions of concern from the International Olympic Committee. Mr. Putin's new order, published on the Kremlin's website, appeared to be a new effort to burnish Russia's reputation as the Olympics near. It follows the amnesty of some of the country's most prominent prisoners, including the tycoon Mikhail B. Khodorkovsky, two performers from Pussy Riot and 30 activists from Greenpeace.

Saturday's announcement formalized plans that had already been in the works to allow approved protests at a park in a region called Khosta, about halfway between the center of Sochi and the region of Adler, where the main Olympic Village is.

"Please, everybody, welcome," the president of the Sochi Olympic organizing committee, Dmitry Chernyshenko, said in an interview in December when asked about criticism Russia faces over issues ranging from political freedoms to gay rights to environmental damage caused by the construction in Sochi. "You're free to express those opinions during the Games."

The establishment of a protest zone – about nine miles from the nearest Olympic site – is similar to three created by China's government during the Olympics in Beijing in 2008. In China's case, however, the authorities refused to grant permission for any rallies in them and instead harassed or arrested those who applied.

Tanya Lokhina, the director in Russia for Human Rights Watch, said on Saturday that the easing of the ban was part of Russia's "efforts to convince critics that it's a democracy where freedom of expression is respected within reasonable limits."

"I suggest they shouldn't let themselves be convinced that easily," she said.

The restrictions on protests are part of some of the most extensive security measures ever put in place for an international sporting event. The threat of terrorism has been a paramount concern at all Olympics, but it has been heightened in Sochi because of the simmering Islamic insurgency that Russia faces not far away in the North Caucasus.

Twin suicide bombings that killed at least 34 people last week in Volgograd, a city about 400 miles away, raised new fears that followers of the terrorist leader Doku Umarov intended to make good on his threat last summer to disrupt the Games in Sochi.

Beginning on Tuesday, the authorities will ban all vehicles not registered in Sochi and increase security are public places. Russia's equivalent of the National Security Agency is reported to have created a surveillance system to intercept any phone calls or emails made to or from those in the area. Visitors to the Games, which are to on begin Feb. 7, will have specially encoded passes in addition to tickets for events. Anyone seeking to hold a demonstration will be required to seek approval from the mayor's office as well as the Federal Security Service, the domestic successor of the K.G.B.

The Kremlin issued the new order as Mr. Putin toured Sochi for a second day to oversee final preparations of the two "clusters" of Olympic facilities, on the Black Sea coast and in the mountains at Krasnaya Polyana, where he skied on Friday.

He was accompanied by many of the most senior officials in his government, underscoring the project's prominence. With only five weeks to the opening ceremony, not everything is ready, including the main stadium, where the opening and closing ceremonies are to l take place, and the ski jump, which has been plagued by scandal and cost overruns.

Vladimir I. Yakunin, the president of Russian Railways, which built a network of lines and stations linking Sochi to the Olympic sites, joined Mr. Putin as he rode the train from the mountains to the coastal site.

"The most difficult stage of the preparation of our facilities is finished," Mr. Yakunin told reporters, according to Interfax. "Of course, there are some details to be finished, but in general everything is ready."

Putin as he rode the train from the mountains to the coastal site.