Sign language has always been a major tool for communication among people with disabilities. In this paper, a sign language fingerspelling alphabet identification system would be developed by using image processing technique, supervised machine learning and deep learning. In particular, 24 alphabetical symbols are presented by several combinations of static gestures (excluding 2 motion gestures J and Z). Histogram of Oriented Gradients (HOG) and Local Binary Pattern (LBP) features of each gesture will be extracted from training images. Then Multiclass Support Vector Machines (SVMs) will be applied to train these extracted data. Also, an end-to-end Convolutional Neural Network (CNN) architecture will be applied to the training dataset for comparison. After that, a further combination of CNN as feature descriptor and SVM produces an acceptable result. The Massey Dataset is implemented in the training and testing phases of the whole system.