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.

A Kenyan police officer has been arrested over the shooting of an unarmed civilian on Tuesday during protests in the capital Nairobi touched off by the death of a blogger in police custody, a police spokesperson said.

Kenyan police have shot an apparent bystander at close range during the latest protests over the killing of a blogger in custody earlier this month