Police in Kenya have clashed with demonstrators during the latest anti-government protests, and the state-funded human rights commission says 10 people have been killed.

Kenya's security forces have blocked all major roads leading into central Nairobi, ahead of planned nationwide protests. Much of the city centre is deserted, with businesses shut and a heavy security presence on the streets. Some schools have advised students to stay at home.

Kenyan police opened fire on a crowd of advancing protesters in Nairobi on Monday, a Reuters reporter said, as scattered demonstrations broke out across the country to mark the 35th anniversary of pro-democracy rallies.