"At the moment we have fulfilled 90 percent of our promises," said the prime minister, adding that her administration wants the chance to realize all its obligations.
"The government has to work until the end. That is what it is paid to do," responded Kopacz.
Kopacz's administration, a center-right coalition of the Civic Platform Party and the Polish People's Party, faces a general election, to be held this autumn.
Duda was presented with the official confirmation of his election victory at a ceremony in Warsaw on Friday, when he made the request, saying that:
"I ask to not create conflicts, because I believe that conflicts are exactly what we must avoid."
He will be sworn in as president on August 6, and asked the Kopacz administration that in the current period, "when the will of the Polish people is still taking shape, the government does not make any important changes, above all concerning the social system."
Duda won the presidential election on May 24, taking 51.5 percent of the vote in the second round run-off against the incumbent Bronislaw Komorowski. Last week Duda announced he had left the Law and Justice Party which backed him to the presidency, saying that he wanted to be president of all Poles, not just those of his party.
"I think it quite natural that when you become president you are no longer involved in any political activities," said Duda, explaining his decision.