Appearing Dec.11 on "Fox News Sunday", Trump continued to describe his win as "one of the great victories of all time", arguing that Democrats "suffered one of the greatest defeats in the history of politics in this country" and that "we had a massive landslide victory".
Trump appears to be considering using the US nuclear capability to overwhelm North Korea and other countries developing nuclear arms.
Lest anyone be tempted to believe this up-is-down spin, Trump made sure they didn't, telling MSNBC's Mika Brzezinski, "Let it be an arms race".
In it, Putin avoided mentioning any of the conflicts between the two super powers, and instead expressed his hopes that Russian Federation and the United States could "take real steps to restore the framework of bilateral cooperation".
As Putin's news conference rolled on, Trump released a merry holiday letter Putin sent him earlier this month.
On Thursday, Putin said in a speech that he meant to strengthen Russian nuclear-weapons capabilities.
Russia's focus should be on "missile complexes that can reliably penetrate any existing and prospective missile defence systems", the Kremlin strongman added.
The United States "must greatly strengthen and expand its nuclear capability until such time as the world comes to its senses regarding nukes", Trump had said. "We will outmatch them at every pass and outlast them all".
Manchester City boss Pep Guardiola opens up on January transfer plans
All of them have quality and the (big) difference is the personality, how they react in the bad moments. I know that people think if a player doesn't play it is because the coach doesn't trust him anymore.
Mr Putin's letter, dated December 15, said serious global and regional challenges "show that the relations between Russian Federation and the United States remain an important factor in ensuring stability and security in the modern world".
In response, Trump agreed with Putin, adding that he hopes "we do not have to travel an alternate path".
Trump's comments came just a day after he expressed a similar sentiment via Twitter.
"As for (comments by) the newly elected president of the U.S., there is nothing new", Putin said during his annual news conference that lasted four hours. "The current administration and the leadership of the Democratic Party are trying to blame all their failures on external factors", Putin told reporters.
The Washington Post's Greg Sargent spoke with several nuclear experts about the potential impacts of Trump's tweet published last week, in which he said the U.S. However, Japan should keep in mind that nuclear arms reductions would be more hard under a Trump administration unless Japan makes strong assertions on nuclear disarmament as a mediator between nuclear powers and non-nuclear powers.
Trump's foreign policy advisor, Michael Flynn, flew to Moscow past year to attend a banquet celebrating Russia Today, the Kremlin's propaganda channel, and was even seated at the head table near Putin.