Vladimir Putin (left) and George W Bush stand firm against terror

Mr Putin said he hoped to strengthen relations between Russia and the US during Mr Bush's second term.

The relationship between the two has grown since the 11 September attacks, with Russia becoming a firm partner in the fight against terror.

Mr Putin wants to see "increasing bilateral co-operation in the fight against international terrorism".

In his message to the president, he said: "I expect that in the coming four years, we will rely on the solid basis established by our joint efforts, to continue our fruitful joint work in strengthening and expanding the multifaceted partnership between Russia and the United States."

Mr Putin also said the two countries should work to develop "mutually beneficial trade and economic links and contacts between our societies and people".

Joy

Immediately after Mr Bush's victory on 2 November, Mr Putin said he believed "international terrorism had a goal of frustrating Mr Bush's victory in the election".

He said Osama Bin Laden's statement in the final phase of the US presidential race "showed it in bold relief".

"I can only feel joy that the American people did not allow themselves to be intimidated, and made the most sensible decision," he said.

Analysts say one reason for the strengthening of the relationship between Mr Putin and Mr Bush is because they see the war on terror in the same stark terms.

The Bush administration's criticism of the Russian military's behaviour in Chechnya has been notably more restrained since Russia became a key partner.