It's good news for millions of people living in Sars-infected countries, as it shows the virus can be stopped.
Vietnam was seen as one of the worst-hit countries at the start of the outbreak. Five out of 65 infected people died from it.
But the news wasn't so good in other countries.
There were 12 new deaths in Hong Kong on Sunday, and nine in China.
In Beijing, schools, cinemas, theatres and internet cafes have been shut to stop the bug spreading.