French President Emmanuel Macron said earlier on Monday that eight European countries had agreed to join a new scheme, including Germany, Britain and Poland.
Under the scheme, participating countries could host French "strategic air forces", Macron said in a speech that came after US and Israeli attacks against Iran threw the Middle East into fresh conflict.
"Poland is in talks with France and a group of closest European allies on the programme of advanced nuclear deterrence," Tusk wrote in a post on X.
"We are arming up together with our friends so that our enemies will never dare to attack us."
Warsaw and Paris raised the possibility of Poland joining a French nuclear umbrella in 2025 when the two sides signed a new treaty.
Poland's nationalist President Karol Nawrocki recently expressed his support for a homegrown nuclear deterrent, but has not given details of how such a plan would work.