"Vladimir Putin said today about Hillary and Dems: "In my opinion, it is humiliating. One must be able to lose with dignity." So true!" Trump tweeted.
At his annual news conference in Moscow yesterday, Putin said the Democrats "are losing on all fronts and looking elsewhere for things to blame", The Washington Post reported.
"In my view, this, how shall I say it, degrades their own dignity. You have to know how to lose with dignity," he said.
Outgoing US President Barack Obama has ordered an investigation into the alleged Russian interference in US presidential elections.
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Putin criticised the Democrats for blaming him for their defeat.
"Outstanding figures in American history from the ranks of the Democratic Party would likely be turning in their graves. Roosevelt certainly would be," Putin said.
"Trump understood the mood of the people and kept going until the end, when nobody believed in him... Except for you and me," he added.
Earlier yesterday, the Trump Transition Team released a letter from Putin to Trump in which he called for strong bilateral relationship.
"I hope that after you assume the position of the President of the United States of America we will be able - by acting in a constructive and pragmatic manner - to take real steps to restore the framework of bilateral cooperation in different areas as well as bring our level of collaboration on the international scene to a qualitatively new level," said the Russian President.
Trump praised the letter, saying a "very nice letter from Vladimir Putin; his thoughts are so correct. I hope both sides are able to live up to these thoughts, and we do not have to travel an alternate path".