The method of exponential smoothing, although originally propesed during the 60´s, still continues in use up to today. In this thesis we present a new forecasting method for time series / with and/or without seasonality, applying the theory of exponential smoothing and harmonic analysis. It is assume that the series is composed of secular trend (constant, linear or quadratic) and a seasonal part. The trend parameters are sequentially using direct smoothing procedure. The seasonal part of the process is treated / separately through the technic of harmonica analysis according to Harrison´s suggestion, (1964). In this way, the proposed method can be viewed as an alternative to that of Souza & Epprecht, (1983), which has, as the most important advantage, the routine of initial estimation of the parameters, which in Souza & Epprecht method produces, in some cases, biased estimators.