The group, Islamic Movement in Nigeria, said its members were killed in attempts by the police to stop the procession across Nigeria.
The Police had said in a statement on Tuesday that it would treat the planned procession as “a gathering in advancement of terrorism”.
The Ashura procession marks the tenth day of the first month in the Islamic calendar.
The Shiite members said the police shot and killed three of their members in Kaduna and one person in Bauchi State.
The secretary of the group’s academic forum, Abdullahi Musa, told PREMIUM TIMES that there were shootings in various states where the protests held.
“We held the protest in Abuja and it has ended peacefully because the police did not meet us before it ended. But in Kaduna I understand that three people were killed when security tried to stop our members,” he said.
“There were also shootings in Lela, Sokoto state, Azare in Bauchi state and in Katsina state too, where the protest was held. They used teargas to disperse our members.”