Clinton city spokesman Mark Jones says the incident began about 2:30 a.m. Saturday inside a Clinton home and lasted for about 12 hours.
Jones says four people were killed but did not provide any other details about the deaths in the Jackson suburb.
The Mississippi Bureau of Investigation says the suspect has been taken into custody. Clinton Police Chief Ford Hayman says two small children who had been inside were released before the hostage situation came to an end.
Capt. Johnny Poulos says the MBI took over the case because the shooting involved police. He could not provide any information on what led to the shooting.