he believes the shooting was the result of a domestic incident involving members of the same family.
However, no motive for the shooting has been revealed.
Teehee said: "I can’t say how, but we believe the suspect in custody is related to the victims."
Muskogee Public Schools has confirmed two of the children were students at Creek Elementary School.
"We are saddened by this tragic loss and our deepest sympathies go out to all of those impacted," Schools Superintendent Dr. Jarod Mendenhall said in a statement.
"No words can adequately express our sadness in losing these students and our thoughts and prayers are with this family."
Neighbors on Indian Street said the family at the center of the incident had only lived there for about three weeks.
According to police reports, Pridgeon also resided at that address, and has a criminal history including one charge of assault and battery with a dangerous weapon.
Pridgeon also previously faced a charge of threatening to perform an act of violence and malicious injury to property under $1,000, stemming from an incident in 2019.
In 2017, he was arrested on suspicion of larceny of an automobile, but that case was later dismissed.
Muskogee mayor Marlon Coleman : "Today tragedy struck our community the likes of which we have not seen in decades.
"Many of us went to bed resting in anticipation of tomorrow's hopes, only to have awakened to know that five babies with unlimited potential are no longer with us; their lives taken prematurely, their families grappling with a new horror, and our community paralyzed with grief."
Police are still investigating the incident.