While a video being widely circulated on social media cuts off the exchange there, more complete footage of the moment shows Ms Kornhauser-Duda then turning to shake Trump's hand as well.
The Trumps are visiting Poland ahead of the G20 Summit in Hamburg, a crucially important event where Trump is expected to meet his Russian counterpart Vladimir Putin face-to-face for the first time.
Trump's history of awkward handshakes
German Chancellor Angela Merkel
Trump refused a request to shake German Chancellor Angela Merkel's hand in the Oval Office in March.
Merkel could be heard asking Trump, "would you like a handshake?" However, Trump either didn't hear her or chose to ignore her request.
Trump and Merkel finally got to shake hands overnight, incidentally.
Japanese Prime Minsiter Shinzo Abe
After the non-shake, Trump appeared to swing too far in the opposite direction following a meeting with Japanese Prime Minister Shinzo Abe.
Trump grabbed Abe's hand, moved forward, patted it, and then refused to let go for a gruelling 19 seconds of awkwardness.
Indian Prime Minister Narendra Modi
The next awkward encounter with a foreign leader was with Indian Prime Minister Narendra Modi.
Modi threw Trump off guard when he went for the double-armed hug after their meeting last month.
French President Emmanuel Macron
By the time Emmanuel Macron met with Trump, the French leader was clearly not going to let his US counterpart emerge the victor from a white-knuckled grip.
In this exchange it was Trump who let go first, with Macron later saying it was "a moment of truth".
"My handshake with him - it wasn't innocent," Macron said.
Neither Poland's First Lady nor her husband, Andrzej Duda, have not commented on their own mildly awkward encounter with Trump.
However judging from social media, they may be the only ones not talking about it.