The conflict began early on Tuesday, according to a statement by the Kenya Red Cross (KRC) on Wednesday.
The KRC said among those killed are four children and seven women in the area which was one of the 19 areas recently gazetted in Baringo by Interior Cabinet Secretary, Joseph Nkaissery as dangerous trouble spots.
The conflict was allegedly triggered by the theft of livestock belonging to the Pokot by the Ilchamus, who encountered a police vehicle at Mosuro area, killing two Pokot women who had boarded it.
The Kenya Red Cross Society say it is still trying to trace the whereabouts of a child who was aboard the vehicle.
There was a retaliatory attack on tuesday night by the Pokots in Mukutani, where five women and four children of the Ilchamus clan were killed.
An additional four had been injured, a baby, two children and one adult male.
“It is unfortunate that majority of those killed are children and women. I call upon all involved parties to this conflict, especially community elders from the Pokot, Tugen and Ilchamus communities to come to the table and resolve this conflict, to avoid further loss of innocent life,” KRC Secretary General Dr. Abbas Gullet said in Nairobi.
He bemoaned the fact that the conflict is hampering KRC humanitarian work in Baringo North, Baringo South and Tiaty sub counties.
Earlier in March, the Kenyan government deployed 243 heavily armed troops to flush out bandits behind the insecurity in the region.
The bandits who are involved in cattle rustling have been blamed for a massive humanitarian crisis that has led to the displacement of over 10,000 people.