The Chancellor said that old certainties about international cooperation were "under pressure", which alluded to the strained US relations between Germany and Germany.
This year, President Donald Trump and the Chancellor clashed on questions of domestic and foreign policy in the Federal Republic.
Mrs. Merkel's New Year's speech will be aired on Monday later.
Last year Chancellor Merkel was a leading defender of multilateralism, in contrast to America First's foreign policy of First American Trump.
"In our own interest, we must take on more responsibility," warned the German leader of global issues such as climate change. Migration and terrorism can not be solved alone.
With the temporary seat on the UN Security Council in 2019 and 2020, Germany would demand "global solutions," said Ms Merkel.  007] The Chancellor, who will resign in 2021, pledged to increase the country's spending on humanitarian aid, development aid and defense.
Ms. Merkel also spoke against Germany's deep political division, acknowledging that her government had failed citizens, but called for solidarity and cooperation.
"We will only meet the challenges of our time if we stick together and work together with others across borders."
This year, Mrs. Merkel averted the collapse of her coalition government due to a migration war. From the acceptance of the German acceptance of more than one million migrants and refugees in 2015.
After her party's poor results in regional elections this year, Ms Merkel announced that she would resign as party leader, a position she for 18 years