Climate change is the most studied concept in the world of research. Various new techniques like Neural Networks, learning Non- linear dynamics and others are used to predict climate change. Solar activity may be a major forcing of climate change. In this paper we use aa index as an indicator of solar variability and study its trend using Hurst’s exponent method. The Fractal dimensional value of aa index was calculated to be 1.1 for a period of 1900 -2010. This value of aa index shows a “persistence” that is the future trend is more and more likely to follow an established trend.