Ewa Kopacz, said on Tuesday that 60 families with children will be brought to the country "for a start", and more families could potentially follow.
The Washington Post has reported that she also said that a Christian nation should be able to "quickly react" and offer help to Christians being "persecuted in a barbaric way in Syria".
The decision follows criticism from Andrzej Duda, who won Poland's presidential election over the weekend, that the government has been too slow in offering help to Syrian refugees.
For months a Polish-Syrian organisation has been asking permission to bring in around 300 Christian families from Syria.
Several European countries have taken in refugees from Syria but most have taken under 100. According to Amnesty International, 3.8 million Syrians have been welcomed in by neighbours Turkey, Lebanon, Jordan, Iraq and Egypt.
