The wife of Gatunguru Secondary School principal Samuel Mbogo has been arrested over his murder.
Gathukiini Chief Stephen Komu on Sunday said Mr Mbogo, who was married to Alice Wachera, had a troublesome marriage.
"The marriage between the two was horrible about three months ago. The teacher was cut in the head and his wife was also involved.
"We believe she has information that will be used to establish the truth," Mr Komu said.
Mathioya OCPD Charles Mutua said Mr Mbogo's body was found dumped inside a car at Gathukiini, Murang'a County.
A resident, Ms Judy Njeri, said she saw blood oozing out of Mr Mbogo's car, and when she opened the door she found the principal's naked body, with eyes and tongue gouged out.
She said the vehicle was about 200 metres away from his home.
Police officers were forced to use tear gas to disperse a mob that wanted to attack Ms Wachera, accusing her of the crime.
The Kenya National Union of Teachers Muranga branch secretary Rosaline Kamina condemned the murder, urging teachers to seek other alternatives to settle marital disputes.