Transthyretin (TTR) is one of the many proteins that are known to misfold and aggregate (i.e., undergo amyloidogenesis) in vivo. The process of TTR amyloidogenesis causes nervous system and/or heart pathology. While several of these maladies are associated with mutations that destabilize the TTR native quaternary and/or tertiary structure, wild type TTR amyloidogenesis also leads to the degeneration of post-mitotic tissue. Over the past twenty years, much has been learned about the factors that influence the propensity of TTR to aggregate. This biophysical information led to the development of a therapeutic strategy, termed “kinetic stabilization”, to prevent TTR amyloidogenesis. This strategy afforded the drug, tafamidis (trade name: Vyndaqel®), which was recently approved by the European Medicines Agency for the treatment of Transthyretin Familial Amyloid Polyneuropathy (TTR-FAP), a common familial TTR amyloid disease. Tafamidis is the first, and currently the only, medication approved to treat TTR-FAP. Here we review the biophysical basis for the kinetic stabilization strategy and the structure-based drug design effort that led to this first-in-class pharmacologic agent.