Chief Deputy Marc Miley says the shooting happened about 1:15 p.m. in the Drake Hill subdivision in the New Hope area.
He says the deputies are being treated at Baptist Memorial Hospital-Golden Triangle in Columbus. The names of the deputies have not been released. Their conditions were not immediately known.
Miley says one person has been taken into custody.
He would not release further details.
The Mississippi Bureau of Investigation is helping investigate the incident.