According to an official statement, the rebels made the assurances after meeting Kenyatta yesterday Thursday.
The Tutsi-led M23 has captured swathes of territory in North Kivu province in recent months and advanced towards its capital Goma. But under heavy international pressure, it pledged to retreat and last Friday it gave back a key Congolese army base just 40 kilometres (25 miles) north of Goma.
“In demonstration of goodwill and the willingness to work towards the settlement of the situation in North Kivu, the leaders of the M23 agreed to continue with an orderly withdrawal and to adhere to a strict ceasefire,” Kenyatta said in the statement after the meeting in the Kenyan coastal city of Mombasa.
He added: “They further agreed to continue to respect and cooperate with the East African Regional Force that has now begun to take control of the areas vacated by the M23.”
M23, whose name stands for "the March 23 Movement", again took up its weapons against the Government in late 2021, accusing Kinshasa of failing to respect promises to reintegrate the rebels into the army.
The return of the Rumangabo base followed a similar handover at a base in Kibumba last month, although the rebels have gained ground elsewhere, raising doubts about the future of the year-long conflict.