Composite materials emerge mainly in response to technological demands as the aviation, aerospace and automotive sectors are rapidly advancing. Bio-fibre composite development has recently attracted the attention of scientists and technologists and has been a subject of interest in recent years. The main subject of this work is research into the tensile characteristics of banana fibre/epoxy resin composites at 30%, 40% and 50% volume fractions of banana fibre and fiber orientation 00, 450, 900. For analysis, the ANSYS 12.0 numbered package is used. In order to find the optimum number of cases the Taguchi l9 method is used. A total of 9 cases for tensile properties were studied. Compared to the other 30/70 and 50/50 the composition 40/60 was found to be usefully applied. For composition 40/60 and 00 fibers orientation, the maximum strength is 50.6 N/mm2.