Emperor Constantine IV signs a peace treaty, of a nominal 30-year duration, with caliph Muawiyah I of the Umayyad Caliphate. Muawiyah pays an annual tribute of 3,000 (nomismata) pounds of gold, 50 horses and 50 slaves. The Arab garrisons are withdrawn from their bases on the Byzantine coastlands, including Cyprus and Rhodes.
December 23 – King Dagobert II is murdered in a hunting accident, near Stenay-sur-Meuse (Ardennes), probably on orders from Pepin of Herstal, the mayor of the palace of Austrasia. He is succeeded by Theuderic III, who becomes sole ruler of the Frankish Kingdom.
King Æthelred of Mercia marries Princess Osthryth, sister of King Ecgfrith of Northumbria (approximate date).
Nuun Ujol Chaak, an ajaw of the Maya city of Tikal, is by this year deceased, after his final defeat at the hands of B'alaj Chan K'awiil, during the Second Tikal-Calakmul War.
Adomnán, clerical lawyer, becomes abbot of the monastery of Iona Abbey, located on the Isle of Iona (modern Scotland).
October 2 – Leodegar, bishop of Autun, is tortured and executed by Neustrian nobles at Fécamp (Normandy)
Sima Zhen, Chinese historian (d. 732)
Zachary, pope of the Catholic Church (d. 752)
Ælfwine, king of Deira (approximate date)
June 23 – Æthelthryth, queen of Northumbria
Cenn Fáelad mac Ailella, Irish scholar
December 23 – Dagobert II, king of Austrasia
Dai Zhide, chancellor of the Tang Dynasty
October 2, Leodegar, bishop of Autun
Sigebert IV, Frankish prince (approximate date)
Xu Yushi, chancellor of the Tang Dynasty
Year 679 (DCLXXIX) was a common year starting on Saturday (link will display the full calendar) of the Julian calendar. The denomination 679 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years.