Following Kublai's enthronement as Khagan-Emperor in 1260, proclamation of the dynastic name "Great Yuan" in 1271, and conquest of Southern Song in 1279, Yuan ruled all of China.
Note: Before Kublai announced the dynastic name "Great Yuan" in 1271, Khagans (Great Khans) of the "Great Mongol State" (Ikh Mongol Uls) already started to use the Chinese title of Emperor (Chinese: 皇帝; pinyin: Huángdì) practically in the Chinese language since the enthronement of Genghis Emperor (成吉思皇帝) in 1206.
Xia → Shang → Zhou → Qin → Han → 3 Kingdoms → Jìn / 16 Kingdoms → S. Dynasties / N. Dynasties → Sui → Tang → 5 Dynasties & 10 Kingdoms → Liao / Song / W. Xia / Jīn → Yuan → Ming → Qing → ROC / PRC