It becomes the second attack on a church in a matter of weeks since 2015, the date of the first jihadist attacks on Christian and Muslim facilities in the West African country.
The attackers then burned the church, looted a pharmacy and some others stores, and left, Dablo mayor Ousmane Zongo told Reuters.
Gunmen on motorcycles stormed the church in Burkina Faso on Sunday morning, killing six men, including the priest, before setting fire to the church and buildings in the area, the Burkina Information Agency reported.
"They burned down the church, then shops and a small restaurant before going to the health center where they searched the premises and set fire to the head nurse's vehicle".
In late April, several armed people attacked a Protestant church in Silgdji in the north of the country, killing five churchgoers and the pastor. "It's practically a ghost town".
One of the French hostages, Laurent Lassimouillas said: "All our thoughts go out to the families of the soldiers and to the soldiers".
"They killed five of them".
The team also found two other female captives, an American woman and a South Korean. Over 350 people have been killed in the raids which have been attributed to a number of jihadist groups, including the Islamic State in the Greater Sahara and the Ansarul Islam group.
UN Secretary General Antonio Guterres condemned Sunday's attack and offered condolences as he cited "the sanctity of all places of worship", according to a UN spokesman.
On Friday, French special forces carried out a rescue mission in northern Burkina Faso, freeing four hostages. Over 100,000 people in Burkina Faso have been displaced by the unrest this year, the United Nations has said.