Year 1345 (MCCCXLV) was a common year starting on Saturday (link will display the full calendar) of the Julian calendar. It was a year in the 14th century, in the midst of a period in world history often referred to as the Late Middle Ages.

During this year on the Asian continent, the several divisions of the old Mongol Empire were in a state of gradual decline. The Ilkhanate had already fragmented into several kingdoms struggling to place their puppet emperors over the shell of an old state. The Chagatai Khanate was in the midst of a civil war and one year from falling to rebellion. The Golden Horde to the north was besieging Genoese colonies along the coast of the Black Sea, and the Yuan Dynasty in China was seeing the first seeds of a resistance which would lead to its downfall. Southeast Asia remained free from Mongol power, with several small kingdoms struggling for survival. The Siamese dynasty in that area vanquished the Sukhothai in this year. In the Indonesian Archipelago, the Majapahit Empire was in the midst of a golden age under the leadership of Gajah Mada, who remains a famous figure in Indonesia.