Previously, the work factor approach was applied to determine fracture toughness, G(c) of unidirectional graphite/epoxy CLS specimen, and it is required to apply the approach to determine G(c) of multi-directional CLS specimen. In this work, the elastic work factor, eta (el) form of multi-directional CLS specimen was calculated numerically as a function of delamination length in order to investigate stacking sequence effect on eta (el) The calculated eta (el) was applied experimentally to determine fracture toughness, G(c) of multi-directional ([0/+/-45/0](s)/[0(2)/+/-45(2)/0(2)], [0/+/-45/0](s)/[0(2)+/-45(2)/90(2)](s), and [90(2)/0(2)](s)/[0(4)/90(4)](s) for the ap and the strap) graphite/epoxy composites. For each case, the G(c) values determined from the eta (el) approach were compared with those determined from the compliance method. Numerical results show that eta (el) is not affected by the fiber angles of plies, and eta (el) is linearly related to delamination length. It was found from the experimental results that G(c) determined from the lie, approach is in a maximum 15% range of difference with that determined from the compliance method for each case. It was also found from the SEM examination that delamination propagated irregularly through interfaces of lap and strap (8th and 9th plies) for [90(2)/0(2)](s)/[0(4)/90(4)](s) case while no delamination transfer was observed for [0/+/-45/0](s)/[0(2)/+/-45(2)/0(2)](s) and [0/+/-45/0](s)/[0(2)/+/-45(2)/90(2)](s) cases.