Cognomen Стаев (Стаев 
, Staev 
) , globally, is a rare family name. The last name Стаев is habitual in Bulgaria, where it is quite a rare surname, Moldova, and North Macedonia, where it is a rare surname. Not in comparison with a country's population, this name is the most popular in Eastern Europe, particularly Bulgaria, Moldova, and Russia.
| VARIANT | COUNTRY |
|---|---|
| Стаев | Moldova, Kazakhstan, Bulgaria, Kyrgyzstan, Russia |
| Staev | Bulgaria, United States, Germany, North Macedonia, Turkey |