A 42-year-old woman was found dead in her house in Chamgiwadu village in Migori County.
The body of Elizabeth Anyango was found lying in a pool of blood inside the bed by the relatives who had gone to check on her on Sunday.
Police said the body had stab wounds around the neck, an indication that she was murdered.
The motive of the murder is yet to be known. The woman stayed alone at the time of the murder, police said.
Police were called to the scene and moved the body to the mortuary pending autopsy and investigations.
The killing of the businesswoman comes days after a watchman was also killed in Rongo town at night and assorted school items stolen from Rongo Primary School in the same area.
No arrest has been made so far in connection with both incidents.
A team of detectives was sent to the area to investigate the murder incidents.
Meanwhile, police are investigating the death of a two-year-old boy whose decomposed body was recovered from the riverbed in Nairobi's Kasarani area.
A local who was clearing a trench on Sunday evening spotted the body that was decomposing.
The man said the body had been dumped there by flooded Gatharaini river within Immaculate area.
The body seemed to have been swept downstream to the area.
It is not clear where and when the minor drowned, police said.
Police were called and picked up the body to the mortuary pending autopsy and identification.
This is the latest case to be reported in the city where more than 60 people have been killed by floods.
Many more are missing while others have been displaced.
Multi-agency teams are working at various sites daily in search of more bodies.
The government says approximately 380,573 people have been impacted by the heavy rains while 1,967 schools have been affected by the floods.
Some 62 health facilities have been affected in 11 Counties while approximately crops on 9,816 acres of land have been destroyed and 4,003 livestock dead.