In May, the European Commission called on EU member states to take in some 40,000 asylum seekers who had landed in Italy and Greece, and a further 20,000 refugees who had not yet arrived in Europe.
"Fair distribution of at least 100,000 refugees among the EU states it what, in fact, we need today," Tusk said at a joint press conference with Hungarian Prime Minister Viktor Orban.
The European Union is facing a major migrant crisis, as hundreds of thousands of refugees arrive in the bloc, fleeing conflicts and poverty in the Middle East and Northern Africa.
According to the EU external border protection agency Frontex, the total number of refugees detected at bloc's borders between January and July 2015 stands at over 340,000, which is three times higher than during the same period of the previous year.
Many of the migrants enter the European Union through the Balkan Peninsula. As a result, Hungary is experiencing an unprecedented influx of undocumented immigrants.