Just over six million have left for neighbouring countries and another 6.5 million people are thought to be displaced inside the war-torn country itself.
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Where are Ukraine's refugees going?
Refugees are also crossing to neighbouring countries to the west, mostly Poland.
Some people have travelled from Moldova into Romania and so are included in both countries' totals.
Poland, Hungary and Slovakia are part of the Schengen area, where there are no internal border controls.
This means many of those counted when they initially crossed into these countries may have since travelled to other countries.
For instance the Czech Republic's interior ministry said that as of 11 May, it had granted 338,830 emergency visas to Ukrainian refugees.
How are refugees leaving Ukraine?
Trains heading towards Ukraine's border have been packed, and there have been long queues of traffic on roads leading out of the country.
Refugees don't need all their official documents, but it is helpful if they can provide provide identification cards or passports, birth certificates of children travelling with them and and medical documentation.
To get refugee status, they need to be Ukrainian citizens or people legally living in Ukraine, such as foreign students.
There have been reports of people from African countries being prevented from leaving Ukraine.