A social media footage showed protesters hurling stones at police vehicles near the Unity Fountain.
The IMN members had staged a protest demanding the of their detained leader Ibrahim El-Zakzaky, who has been in police custody for over two years.
El-Zakzaky is being held by the Federal Government without trial and despite court orders for his release.
In defiance of the police ban on protests at the Unity Fountain in Abuja, hundreds of the Shiites marched to the area, resulting in violence.
Last Friday, the police banned any demonstration at the park after the IMN, Bring Back Our Girls Group and advocacy movements stormed the place for protests.
The groups have since condemned the ban, describing it as autocratic, illegal and a breach of their fundamental human right.
A social media footage showed protesters hurling stones at vehicles near the park and Transcorp Hilton Hotel.
IMN leaders said over 200 members of the group were arrested during the protest but the police figure contradicted that.
The police also dismissed the reports that some of the Shiites were killed in the incident.
"One hundred and fifteen (115) members of the sect were arrested at the scene by police operatives," the Abuja police spokesperson, Anjuguri Manzah, said in a statement issued on Monday night.
He said 22 police officers were injured.
Manzah said, "Contrary to speculations from some sections of the media, no life was lost in the violent protest.
"Joint team of detectives from the command and operatives from the IGP Monitoring Unit have commenced investigation into the incident.
"The arrested suspects will be charged to court upon the conclusion of investigation."
The police also said that they recovered catapults, iron bars, stones, ball bearings and pink head bands from the suspects.
But other reports accused alleged that the police used teargas, water cannons and live ammunition on the protesters.