The center-left Social Democrats' leaders now have one last major hurdle to overcome, winning their skeptical members' approval of the deal.
Merkel's conservative Christian Democratic Union, its Bavaria-only sister, the Christian Social Union, and the center-left Social Democrats agreed after a grueling final 24 hours of negotiations on a 177-page deal that leads off with the promise of "a new awakening for Europe."
"I know that millions of citizens have been watching us closely on this long road over recent weeks," Merkel said. "They had two justified demands of us: First, finally form a government, a stable government, and second, think ... of people's real needs and interests."
Germany has already broken its post-World War II record for the longest time between its latest election on Sept. 24 to the swearing-in of a new government. That is still at least several weeks away.
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Merkel currently leads a caretaker government, which isn't in a position to launch major initiatives or play any significant role in the debate on the European Union's future, led so far by French President Emmanuel Macron.
A key role in the EU is particularly dear to Social Democrat leader Martin Schulz, a former European Parliament president.
Before addressing Europe's future, Schulz faces hard work at home.
The coalition accord will be put to a ballot of the Social Democrats' more than 460,000 members, a process that will take a few weeks. Germany's highest court said today it had dismissed a series of complaints against the ballot.
Many Social Democrats are skeptical after the party's disastrous election result, which followed four years of serving as the junior partner to Merkel's conservatives in a so-called "grand coalition." The party's youth wing vehemently opposes a repeat of that alliance.
Schulz's zigzag course in recent months has undermined his authority. He vowed to take the party into opposition on election night, but reversed course in November after Merkel's efforts to build a coalition with two smaller parties collapsed.
On the conservative side, Merkel needs only the approval of a party congress of her CDU, a far lower hurdle.
"I am counting on convincing our members that we have negotiated a very good coalition agreement," Schulz said.
The Social Democrats are set to get the foreign, labor and finance ministries, the latter a major prize, held by Merkel's CDU for the past eight years and an influential position given Germany's status as the eurozone's biggest economy.
The interior ministry, also held by the CDU, would go to Bavaria's CSU, which has pushed hard to curb the number of migrants entering Germany.
Merkel's party would keep the defense ministry and get the economy and energy ministry, held by the Social Democrats in the outgoing government.
Unconfirmed reports in German media said that Schulz plans to become foreign minister while the new finance minister and vice chancellor would be Olaf Scholz, Hamburg's center-left mayor.
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