A'ingae (or Cofán, ISO 639-3: con) is a language isolate spoken in the Ecuadorian and Colombian Amazon. The language is characterized by rich morphophonology of verbal stress, where six different surface behaviors of verbal suffixes can be distinguished. This study argues that the six different behaviors can be reduced to two independently varying binary parameters (prestressing and dominance), and an independently motivated language-specific rule for stress assignment. A'ingae morphologically-conditioned stress is analyzed in Cophonology Theory (Orgun 1996; Anttila 1997; others), which allows for a parsimonious account of the complex system. All the data were collected by the author.