The main objectives of this work are to test empirically the hypothesis of income convergence process among American countries, to classify this convergence process as either absolute or conditional and to determine if this process happens in either a linear or non-linear manner. Estimations were made through both TAR (threshold autoregressive) panel and linear autoregressive panel and the results were compared to each other. The sample of countries are composed by Argentina, Bolivia, Brazil, Canada, Chile, Colombia, Costa Rica, Dominican Republic, Ecuador, El Salvador, Guatemala, Honduras, Jamaica, Mexico, Nicaragua, Peru, Trinidad and Tobago, Uruguay, USA and Venezuela. The sample period is 1953-2003 and data are in annual basis. Results ...