"Barack Obama has underlined the importance of the strategic partnership between Poland and the United States, he expressed his hope of continuing the political and military cooperation between our two countries.
"He also said the anti-missile shield project would go ahead," said a statement issued by Kaczynski after the two men spoke by telephone.
Warsaw and Washington signed a deal on August 14 to base part of a US missile shield in Poland, amid Moscow's vehement opposition and mounting East-West tensions over Georgia.
The plan has enraged Moscow, master of Poland and the then Czechoslovakia during the Cold War. Both countries broke from the crumbling communist bloc in 1989, joined NATO in 1999 and the European Union in 2004.
Regarding it as a grave security threat, the Kremlin has threatened to aim its own missiles at the planned US installations.