Swiss Police say tear gas was used when several protesters attempted to break into the consulate.
Tibetan groups want the Swiss government to press China on its human rights record.
Switzerland has condemned the violence in Tibet and urged China to safeguard people's right to free expression.
Chinese media are reporting that 10 people were killed on Friday when demonstrators clashed with security forces in Tibet's capital Lhasa. Exile group say the toll could be as high as 100.