MOSCOW — President Medvedev ordered a halt to military action at Georgia today, after five days of air and land attacks that took Russian forces deep into its small American-allied neighbor at the Caucasus.

Mr. Medvedev said on national television that the military had punished Georgia enough for its attack on South Ossetia. Georgia launched an offensive late Thursday to regain control over the separatist Georgian province, which has close ties to Russia.

“The security of our peacekeepers and civilians has been restored,” Mr. Medvedev said. “The aggressor has been punished and suffered very significant losses. Its military has been disorganized.”

The Russian president, however, said he ordered the military to defend itself and quell any signs of Georgian resistance.

“If there are any emerging hotbeds of resistance or any aggressive actions, you should take steps to destroy them,” he told his defense minister at a televised Kremlin meeting.

President Sarkozy, just arrived at Moscow carrying Western demands for a Russian pullback, welcomed the decision to halt the fighting but said Georgia’s sovereignty, integrity, and security must be protected. There was no immediate comment from America.

As he started talks with Mr. Sarkozy, Mr. Medvedev said Georgia must pull its troops from the breakaway regions and pledge not to use force again to solve the conflict.

Hours before Mr. Medvedev’s announcement, Russian forces bombed the town of Gori and launched an offensive in the only part of Abkhazia still under Georgian control, tightening the assault on the beleaguered nation.

Russia’s foreign minister, Sergey Lavrov, said earlier today that Georgia’s president, Mikhail Saakashvili, should leave office and that Georgian troops should stay out of South Ossetia permanently.

Moscow will not talk to Mr. Saakashvili, Mr. Lavrov said; the best thing for Mr. Saakashvili to do “would be to step down.” But he said Moscow has not made Mr. Saakashvili’s departure a condition for ending hostilities.

The U.N. and NATO had called meetings today to deal with the conflict, which blew up at South Ossetia and quickly developed into an East-West crisis that raised fears in former Soviet bloc nations of Eastern Europe. Five European presidents were headed to Russia and Georgia to mediate.

Russian troops who had advanced into Georgia yesterday from South Ossetia, took positions near Gori on the main east-west highway as terrified civilians fled the area, and Mr. Saakashvili said his country had effectively been cut in half.

Russian jets targeted administrative buildings and a street market in the center of Gori today, Georgia’s security chief, Alexander Lomaia, said, but there was no immediate information about casualties.

The Russians had also opened a second front in western Georgia yesterday, moving deep into Georgian territory from separatist Abkhazia. They seized a military base in the town of Senaki and occupied police precincts in the town of Zugdidi.

Russia’s deputy chief of General Staff, Colonel General Anatoly Nogovitsyn, said Russian troops weren’t at Gori but confirmed they have taken control of an airport at Senaki. Senaki is 30 miles east of Abkhazia.

General Nogovitsyn said at a briefing that Mr. Medvedev’s order means that the Russian troops would stay where they are. He said they will retaliate if come under Georgian attack.

Mr. Lomaia said that Russian troops also attacked Georgian forces who continued to hold the northern part of Abkhazia’s Kodori Gorge.

Abkhazian officials said their own forces were carrying out the artillery attacks and that Russian forces were not involved in that fighting. At least 9,000 Russian troops and 350 armored vehicles were at Abkhazian, according to a Russian military commander.

An AP reporter who visited Zugdidi this morning saw several Russian armored vehicles and dozens of troops outside the town’s central police station. The mood in the city was calm, people were moving around and many stores that shut previously were open for business Tuesday.

The Russian onslaught, accompanied by relentless Russian air raids on Georgian territory, angered the West, bringing the toughest words yet from President Bush.

Georgia, which sits on a strategic oil pipeline carrying Caspian crude to Western markets bypassing Russia, has long been a source of contention between the West and a resurgent Russia, which is seeking to strengthen its role as the dominant energy supplier to the continent.

Mr. Saakashvili endorsed an EU plan calling for an immediate cease-fire, in talks yesterday with French and Finnish foreign ministers. Mr. Sarkozy was to negotiate the plan at Moscow, and the presidents of Poland and the former Soviet states of Ukraine, Lithuania, and Estonia were headed to Georgia today.

Mr. Bush had demanded yesterday that Russia end a “dramatic and brutal escalation” of violence in Georgia, agree to an immediate cease-fire, and accept international mediation.

“Russia has invaded a sovereign neighboring state and threatens a democratic government elected by its people. Such an action is unacceptable in the 21st century,” Mr. Bush said in a televised statement from the White House.

Prime Minister Putin accused America of hypocrisy in a tough statement that reflected both the measure of his anger at the West.

Russia’s Deputy Foreign Minister, Grigory Karasin. said more than 2,000 people have been killed at South Ossetia since Friday, most of them Ossetians with Russian passports. The figures could not be independently confirmed, but refugees said hundreds had been killed.

Both separatist provinces are backed by Russia. Russian officials had given signals that the fighting could pave the way for them to be absorbed into Russia.

Georgia borders the Black Sea between Turkey and Russia and was ruled by Moscow for most of the two centuries preceding the 1991 breakup of the Soviet Union. South Ossetia and Abkhazia have run their own affairs without international recognition since fighting to split from Georgia in the early 1990s.

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Associated Press writers Chris Torchia reported from Zugdidi, Georgia; Misha Dzhindzhikhashvili from Tbilisi, Georgia; David Nowak from Gori, Georgia; Douglas Birch from Vladikavkaz, Russia; Jim Heintz, Vladimir Isachenkov and Lynn Berry from Moscow; and Pauline Jelinek from Washington.