The international development charity says it will send daily tweets with prayers so that Christians can join in and pray for the African country. Tearfund has also issued a prayer guide for the week.
The initiative comes following months of conflict which has seen 300 people killed and an exodus of 200,000 to neighbouring countries such as Rwanda and Tanzania.
Tearfund has been working in Burundi for a number of years and is one of the few NGOs to remain in the country despite the current violence.
It says it is supporting local communities and issuing food aid and supplies.
Over 200 churches in Rwanda and Burundi will join in this week of prayer, which will culminate in a mass service of 2,000 people on Sunday 20th December.
You can see the prayer tweets by following @Tearfund on Twitter.