"The injustices and sufferings still being inflicted by these executioners risk diverting us from God's path into a spiral of vengeance and cycle of violence," the bishops said.
The mineral-rich country has suffered persistent violence by armed groups, leaving 4.5 million people displaced and a fifth of the population needing basic assistance, according to the United Nations.
Lately, Muslims have been reaching out to Christians in northern Nigeria to seek reunion and deliver a message of peace, hope and solidarity that all Muslims are peace-loving people.
"We express our strongest condemnation at this disquieting wave of violence and assure our bruised brethren of solidarity, prayerful communion and compassion."
The presence of militant Islamist groups in the Congo such as ISIS is complicating the work of medical personnel in combating the Ebola virus epidemic, which has been rampant for the last 40 months.