The wheat was purchased at 164.31 euros ($180.51) a tonne c&f free out to Syrian ports, the source and European traders said.
The agency, the General Organisation for Cereal Processing and Trade (Hoboob), sought the wheat for shipment in August and September.
The purchase was made from a Middle East-based trading firm.
The Syrian government is yet to give a local crop estimate for this year but the United Nations Food and Agriculture Organisation (FAO) told Reuters in April the wheat planted area was smaller this year. The import comes amid the local state wheat purchasing season which started in June. ($1 = 0.9102 euros)