Burundi authorities yesterday closed down the main university in the capital Bujumbura citing rising insecurity.
Students decided to storm the US embassy saying they had nowhere else to go.
According to BBC, hundreds of students tried to organise a march to stop the President Pierre Nkurunziza from officially presenting his nomination papers to the electoral commission.
At the embassy, students said security forces were after them, the reason they had sought refuge.
About 500 students spent the night at the embassy and are still camped there.
The protests that started last weekend have persisted for a week now.
Government reacted by blocking social media and top radio stations.
The protests have been the biggest in Burundi since the civil war ended in 2005.
Nkurunziza has warned that protests against his decision to run for the third time are “illegal”.
The Arusha Accord allows Burundi presidents to serve for two terms.
Nkurunziza has been in power since 2005, when a 12-year civil war officially ended.
More than 300,000 people died in the conflict between the minority Tutsi-dominated army and mainly Hutu rebel groups.
US has already threatened to sanction Nkurunziza should he refuse dialogue.
The African Union has also demanded the disarmament of Nkurunziza militia said to be oppressing and killing people.