"Germany can endorse the agreement and will do it in the Council," Ulrike Demmer said during a news briefing.
She said cabinet ministers had agreed a common stance on the long-awaited deal during a phone conference earlier in the day.
"They were unanimous about the positive assessment of the agreement," the official added.
The eleventh-hour pact was hammered out last Thursday, a week before the transition period for the UK’s exit was about to end. It still needs the approval of the European Council, the European Parliament and the British legislature.