The draft measure, obtained by AFP yesterday, said the force would be deployed in Bujumbura and throughout Burundi for an initial period of one year, but that the size and mandate could change if violence worsens.
It remains unclear whether the government of Burundi would give its consent for the deployment, which would be required for the UN force to be dispatched.
Bujumbura has said it would not accept more than 50 UN police officers, but negotiations are ongoing on the proposed larger force.
The UN police force would be tasked with monitoring security and human rights in coordination with African Union rights observers and military experts.
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Burundi has agreed to allow 100 AU rights observers and 100 AU military experts into the country to monitor the crisis, but fewer than 50 have in fact begun work on the ground.
The draft resolution urges the government to speed up the deployment of the AU monitors and to enter into dialogue with all opposition groups including "those outside the country" to end the crisis.
The Security Council is under pressure to take action in Burundi, where the descent into violence has raised fears of mass atrocities, similar to those that convulsed neighboring Rwanda in 1994.
Burundi has been in turmoil since President Pierre Nkurunziza announced plans in April last year to run for a third term, which he went on to win.
More than 500 people have died, many of them in extrajudicial killings blamed on Burundian police, security forces and militias linked to the ruling party, according to the United Nations.