Joining of engineering composite components using adhesives has increased over several years owing to significant advantages that are associated with it. Single Lap Joint (SLJ), Double Lap Joint (DLJ) and Scarf joint are commonly used joint configurations for adhesive bonding. SLJ is widely used configuration but due to load eccentricity, shear and peel stress increase not used for critical load bearing applications. DLJ is used in applications where high load carrying ability is required. Mixed Adhesive Joints (MAJ) is technique used to reduce the stresses, thus increasing load carrying ability of joints. In MAJ, brittle adhesive is used in the middle portion of overlap and ductile adhesive is used at the ends, thus significantly reducing stresses. The strength of adhesive joint also depends on joint parameters such as overlap length and thickness of adhesive layer. Present study deals with numerical analysis on the use of MAJ for bonding of CFRP in DLJ configuration. Two adhesive systems Araldite 2015 (ductile) and AV138 (brittle) are considered to constitute the MAJ. DLJs of three different overlap (25, 35 and 50 mm) and thickness (0.2, 0.5 and 1 mm) are studied. The results indicate dependency of peel and shear stress on joint geometry and adhesive layer composition. Also optimum value of thickness and overlap is shown to exist for bonding of DLJ.