This paper presents a finite element approach of crack surface interference observed under load reversing conditions. According to this model, crack surface displacements and tractions are not free but subject to constrains simulating contact and prevailing overlapping of crack surfaces. Crack tip stress singularity and conditions for crack surface interference are being modeled through quarter-point and contact elements, respectively. To approach the interference configuration and interfacial traction distribution, an incremental numerical procedure is applied for the solution of the resulting equations. The numerical solution of this nonlinear problem yields crack surface displacements and consequently the crack surface interference. Fracture parameters are evaluated from nodal displacements of singular elements utilizing proper formulas. Results are illustrated and discussed for transverse and slant edge cracks considering various crack depths, and are compared for accuracy reasons with analytical solutions available in the literature. The existence of friction along the interface is also discussed.