One of the most recent emerging technique for Surface Tension caluclation is called Pendant Drop Tensiometry which is a Axisymmetric Drop Shape Analysis. Machine Learning and Neural Networks are another fields which are emerging and could be commonly used for any kind of topic. Although Pendant Drop Tensiometry and Machine Learning are inevitably improving fields separately, there are not many works previously in which both fields are merged to solve a problem. We have followed to main works and first main work helped this thesis to extract and understand the usage of differential equations of Pendant Drop Tensiometry. Other recent work could be interpreted as the only recent work which could be useful to create the hypothesis of this master thesis since it combined a Machine Learning approach with Pendant Drop Tensiometry.