The experiments of this study were conducted in Degirmenalti Campus of Namik Kemal University in Tekirdag, a province in northwestern Turkey between 2005-2008. An anemograph system which can measure wind speed and wind direction at 2 m and 10 m heights was used in this study. The recorded data was transferred to computer environment with a data logger. The relation between wind speed and height was modeled with the gathered data and it was compared with logarithmic wind speed. Also, artificial neural networks (ANN) method was used in wind speed estimation and error comparisons of the results of measurements and ANN estimations was done. The best results of the error analysis were gained from the developed mathematical model. Especially, the error rate of developed mathematical model for the wind speed values over 2 ms-1 remained under 5%. While error rates appeared to be higher in logarithmic wind speed model, they were quite near to the developed mathematical model in ANN method.