The Lucha citizen movement said at least 27 were detained by police in North Kivu province in the country's east, including 15 in the provincial capital Goma.
The authorities confirmed 16 arrests in North Kivu and eight in Goma. "The situation is calm in Goma. We have taken in eight people who wanted to barricade the road," said local police chief Placide Nyembo.
In the neighbouring province of South Kivu, Lucha said it lamented "the arrest of 13 activists" who were detained while a political statement was being read out.
"The governor has given us the order to disperse any protests. Any gathering of more than five people will be dispersed," Kinshasa police chief Sylvano Kasongo said.
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Official moves to dissuade protests followed a statement from the UN peacekeeping mission MONUSCO urging authorities "to respect the fundamental freedoms enshrined in the Congolese constitution, including freedom of assembly and of demonstration."
The Lucha movement said the statement from yesterday's government meeting amounted to "a programme of repression".
He was scheduled to have stepped down in December 2016 after a constitutional maximum of two terms in office.
But as protests and a bloody crackdown swelled, a deal was brokered by the Catholic church enabling him to stay in office pending elections which have been repeatedly delayed.
Pressured by the international community, the ballot is now scheduled for December 23, 2018, electoral officials announced earlier this month.
But the opposition immediately rejected that timetable and said Kabila must stand down.
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