Zimbabwe's prime minister says political violence is continuing despite denials by perpetrators who have targeted his supporters.

Prime Minister Morgan Tsvangirai met with U.N. High Commissioner for Human Rights Commissioner Navi Pillay on Tuesday, a day after President Robert Mugabe's party, in a fragile three-year coalition government, insisted to the envoy there was no state-sponsored violence in the country.

Tsvangirai, who was a victim of torture at the hands of police ahead of violent elections in 2008, said there was no need for the coalition to hide ongoing human rights abuses.

He said he was striving for the next proposed elections to be "free and fair and away from violence."

Pillay said she had raised many "areas of concern" with Tsvangirai.