French President Emmanuel Macron also congratulated Trump, saying he was ready to work together with him just as before, "with respect and ambition. For more peace and prosperity".
Macron also said that he had held talks with German Chancellor Olaf Scholz, over working to defend Europe's interests and values while co-operating with the US.
German Chancellor Olaf Scholz congratulated Trump, adding that "Germany and the US have for a long time successfully worked together to promote prosperity and freedom on both sides of the Atlantic".
Nato Secretary General Mark Rutte said Trump's leadership "will again be key to keeping our alliance strong. I look forward to working with him again to advance peace through strength through Nato".
Donald Trump has been critical of the Nato alliance, accusing its European allies of not paying enough for security.
Ukrainian President Volodymyr Zelensky said on X: "I appreciate President Trump’s commitment to the 'peace through strength' approach in global affairs. This is exactly the principle that can practically bring just peace in Ukraine closer."
Trump promised to push Zelensky to cut a deal with Russian President Vladimir Putin, one that may involve a loss of territory. Ukraine fears he will reduce US military and financial support.
Italian Prime Minister Giorgia Meloni congratulated Trump in a post on X, saying Italy and the US were "linked by an unshakable alliance, common values and a historic friendship. It is a strategic bond, which I am sure we will now strengthen even further."
Spanish Prime Minister Pedro Sanchez also congratulated Trump on X: "We will work on our strategic bilateral relations and on a strong transatlantic partnership."
Irish Prime Minister Simon Harris said Ireland "will work to deepen and strengthen the historic and unbreakable bonds between our people and our nations in the years ahead".
In her congratulatory message to Trump, European Commission President Ursula von der Leyen said the EU and the US were "more than just allies".