Today, woven type composite materials are used in many engineering fields such as automotive and aerospace engineering. Besides the dynamic characteristics, understanding failure behavior is a key issue for such that materials. In this study, failure behavior of double edge cracked carbon woven carbon composite curved beams under compression is investigated using both experimental and computational approaches. For this purpose, following sequences are considered: (i) finite element models of uncracked curved beam, single edge cracked curved beam and double edge cracked curved beam are verified through modal testing and analysis, (ii) results of computational failure prediction of double edge cracked woven carbon woven curved beams under compression are compared with that of single edge cracked woven carbon woven curved beams. Effect of crack on determining failure mechanism of the curved beam is examined. Results are given in tabular and graphical forms.