Councillors approved the appointment of Mr Reeves, who is currently chief executive of Bedfordshire CC at a full council meeting.
Mr Reeves, 38 and married with a baby daughter, has worked in local government for over eight years.
He was assistant chief executive of Bedfordshire for two years, before which he worked at Westminster City Council and
Waltham Forest LBC. He was a university lecturer before joining local government.
Bedfordshire is due to be wound up as a result of local government reorganisation.
He is expected to join Coventry, which has an annual budget of£258m, in the spring.
Council Leader Cllr Ken Taylor (Con) said: " All of us on the final interview panel were impressed by his commitment, energy and his proven track record in delivering successful change in councils he has worked for.”
The selection process included a grilling by panels of residents, key partners and children.