Rwanda’s ministry of defence says three soldiers from neighbouring Democratic Republic of Congo crossed the border overnight.
The ministry further adds that one was shot dead after firing at a military patrol, while two others were arrested.
A statement said the Congolese soldiers had an assault rifle and sachets of cannabis.
A DR Congo security source confirmed to AFP news agency that there had been an incident. However, the source added that it wasn’t clear if they were Congolese soldiers or members of a militia.
Relations between the two nations are extremely strained as both accuse each other of backing rebel groups which threaten their nation’s stability.
The Kinshasa government accuses Rwanda of backing the M23 Tutsi-led rebel group and stealing minerals from eastern DR Congo.
Rwanda has long accused its neighbour of backing Hutu rebels.