Reports described a huge blast at the diplomatic mission followed by gunfire.
A hospital official said more than 80 people were hurt in the attack, which happened around 23:00 (18:30 GMT).
The Taliban says it carried out the attack in response to coalition air strikes earlier this month in Kunduz which killed civilians.
Nato is investigating the incident in the northern city, which happened when Afghan troops surrounded by Taliban militants called in air support.
Thirty civilians died in the fighting, many of them in the air strikes, local officials said.
