The three, who include the Deputy Officer Commanding Olenguruone Police Station in Nakuru county, are linked to the brutal assault on Mercy Cherono in Kuresoi South.
Speaking to local media on Wednesday, Rift Valley Regional Police Commander Marcus Ochola condemned the incident and ordered a probe into the conduct of the officers.
IPOA chairperson Ann Makori said the agency learnt of the incident on Wednesday morning and opened investigations with a view of establishing allegations of assault, injury and any other misconduct by the police officers.
"This morning (IPOA) learnt of an incident in which members of the National Police Service allegedly tied a woman to a motorcycle, drove the bike while dragging and whipping the woman," Makori said.
"Consequently, IPOA on its own motion this afternoon launched investigations into the allegations of assault, injury and any other misconduct against the police officers," she said.