The Tear of Asha is a special object which is found by collecting pieces of the puzzle map from visiting obelisks in HoMM V. The puzzle map will show it's location and the player will have to dig it. It is required to build legendary buildings in cities, which in turn grants huge boosts to income, creatures' growth, and different bonuses base on which city it is built. There is only one Tear of Asha in each map. (however, there are some maps in which it is not available to be found)
It is similar to The Grail in HoMM III.