Activists and the father of a Kenyan civilian who was shot at close range by police during the country's latest protests over the alleged killing of a blogger in custody are demanding accountability.

Outrage over the death of a Kenyan teacher and activist in police custody sparked protests in the capital Nairobi this week after doctors refuted a police claim that he had died in his cell from a self-inflicted head injury.

A man shot at point blank range by a Kenyan police officer during protests in the capital Nairobi against extrajudicial killings by security forces is alive but in intensive care, his father said on Wednesday.