"The Ming Voyages" are the seven journeys made by the Chinese treasure fleet of oceanic junks between 1405 and 1433. The Yongle Emperor constructed the fleet during a period of outward-looking expansion of Chinese influence overseas, and its commander was Admiral Zheng He. The maritime power of the Ming Empire was used for political purposes, not just for trade. The immense fleet was technologically far in advance of European counterparts until at least the 18th century. While it is purported by some that the fleet circumnavigated the world and discovered all its continents save Europe, the voyages certainly reached Calicut in India and Hormuz in the Persian Gulf, while making landfalls in the Arabian Peninsula and East Africa — but on the landward side of the Empire, border troubles were always brewing.

In The Ming Voyages, one player will be the Ming Emperor who is trying to complete all seven treasure voyages, in addition to protecting the Chinese borderlands from invading barbarians. The other player controls the three disparate barbarian factions who are trying to settle on the borderlands with China. Battles can occur in these borderlands, with players use their three dice to roll for triples, doubles, and singles that are better than their opponent's rolls. Reserved cards can be used for re-rolls.

The game uses multi-function cards (as in The Cousins' War) to provide actions for players to reinforce their armies and attack the enemy and for the Emperor to complete voyages. Play of a card may provide an out-of-turn action for the opponent, so players must be careful of timing. Only the Emperor draws new cards. Players swap hands at the end of each turn, so the Emperor always knows what the Barbarian Overlord holds, and each player tries to exploit the out-of-turn actions.