Goma had its third case of Ebola fever confirmed this week.
"The Congolese authorities deplore this decision, which runs counter to the advice of the WHO (World Health Organisation)," on fighting the virus, the statement said.
Rwandan state minister for foreign affairs ministry, Olivier Nduhungirehe, told Reuters by phone: "Yes it has been closed, but for details you can call immigration and ministry of health because it is about Ebola."