Clashes took place some 25 kilometres to the north of the strategic eastern city of Goma, rebel spokesman Vianney Kazarama told AFP.
Both sides accused each other of starting the fresh outbreak of fighting.
"The army attacked our positions," insisted Kazarama.
But Olivier Hamuli, spokesman for the army in the flashpoint province of North Kivu, said: "They attacked us."
A source from the UN peacekeeping mission in the country, MONUSCO, said the rebels carried out the first attack.
There were no immediate reports of casualties.
On Monday, both sides announced a halt to peace talks taking place in the Ugandan capital Kampala despite UN pressure to end the year-and-a-half-old rebellion ravaging DR Congo's mineral-rich but volatile east.
According to the Congolese government, the talks were suspended due to disagreement over the extent of an amnesty for the army mutineers and their reintegration into the national army.
Backed by the international community, Congo's government is refusing to give amnesty to about 80 leaders of the M23 rebels and to enlist these men into military ranks.
They took control of the provincial capital, Goma, for more than a week late last year before withdrawing under international pressure.
Kinshasa has long accused Rwanda of pulling the strings behind the rebellion and UN experts have even said that the M23's "de facto chain of command" was topped by Rwanda's defence minister.
Kigali has vehemently denied accusations that it is arming, financing the rebels -- and even supporting them with its own forces.
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