Fifty-seven observations of the solar analogue Alpha Centauri A made by the International Ultraviolet Explorer over a 3-year interval have been examined for variability. We find that the ultraviolet continuum flux of this star in the 1715- to 1915-¿ range varies by as much as 19% (with a standard deviation of ¿1.3%). However, nearly all of this range in variability can occur within one stellar rotation period. Consequently, if Alpha Cen A undergoes a stellar activity cycle similar to that of the Sun, our results indicate that the amplitude of this modulation is small, contrary to recently proposed empirical (theoretical) models of solar activity. ¿ American Geophysical Union 1989