"#Steinmeier welcomes anti-#pegida protests: Vast majority of Germans believes that people fleeing civil war should find refuge with us," the Federal Foreign Office posted on Twitter.
According to the ministry, Steinmeier added that despite the frightening disorder in the world the policy of isolation was not a way out.
"#Steinmeier: I understand that the disorder in this world scares many people. But the answer cannot be isolation+anti-foreign propaganda," the Foreign Office added in another tweet.
PEGIDA, which stands for Patriotic Europeans against the Islamization of the West, began weekly rallies back in October. On Monday, a PEGIDA rally saw a turnout of more than 20,000 people in the German city of Dresden, according to a statement made by the movement.
The rally was held outside the Semperoper opera house in Dresden in response to growing fears in Germany toward the influx of immigrants from the Middle East and the impact of Islamic culture on the country.
The PEGIDA rallies have been met with protests opposing the movement's stance. German Chancellor Angela Merkel and several other officials have condemned PEGIDA.