For his part Kaczynski called on Israel for moderation.
"Poland has and wants good and friendly relations with Israel but we are also calling on Israel to exercise moderation," Kaczynski said.
Abbas also said he was hopeful the new US administration of President Barack Obama could ease the Middle East crisis which has recently seen more than 1,300 deaths in Gaza.
He said he has spoken personally with Obama and expressed optimism about his dispatching negotiator George Mitchell to the region.
"He (Obama) understands that peace in the Middle East is fundamental to the security of the United States," Abbas said.
Speaking earlier in Warsaw, Palestinian Authority foreign minister Riad Al-Malki said recent Hamas rocket attacks on Israel ahead of its general election Tuesday showed Hamas wants to undermine peace efforts in the region.
"Hamas does not want a peace government in Israel to be elected in order to pursue political negotiations with the Palestinian Authority," said Al-Malki about the rival Islamist movement Hamas which controls the Gaza Strip.
"The landing of the two rockets yesterday (Sunday) is a way to interfere in the outcome of the Israeli elections," he said at a joint press conference with Polish Foreign Minister Radoslaw Sikorski.
"That is why we are worried that such attacks might really interfere negatively during the outcome and might really push Israeli public opinion and the voters to vote for an anti-peace government," he said.
