"Not everywhere the agreed ceasefire has been implemented at once and fully. But for the first time the chance to have a real truce has appeared," Steinmeier told the German Welt am Sonntag newspaper in an interview.
He added that that hope to reach peace in Syria was increasing not only for the Syrians within the country, but also for Syria's citizens, who became refugees in other countries.
Syria has been mired in civil war since 2011, with forces loyal to President Bashar Assad fighting against a number of opposition factions and extremist groups. The international community, including Russia, the United States and Germany, has been making efforts to settle the crisis.
The UN Security Council unanimously adopted a resolution endorsing the Russia-US agreement on the cessation of hostilities in Syria on Friday, shortly before the ceasefire came into force.