An analytical model of the strain and stress distributions in a taper-taper adhesive-bonded joint between two composite flat plates has been developed using first-order laminated plate theory. A correction for transverse shear deformation effects was included. The model was derived under the assumption of plane strain in the adherends and consists of eighteen first-order, linear, coupled ordinary differential equations with variable coefficients. The model was solved numerically using the Linear Shooting Method. Finite element models were also developed to verify the results of the analytical model using the COSMOS/M commercial software package.