We consider the problem of determining the distribution of stress in an infinitely long elastic strip containing two coplanar Griffith cracks. Throughout, it is assumed that the equations of the classical theory of elasticity hold. Two types of boundary value problems are considered, Firstly, we assume that the cracks are opened by a constant internal pressure p and the edges of the strip are rigidly fixed, while secondly it is assumed that the edges of the strip are free from stress. By the use of Fourier transforms we reduce the problem to solving a set of triple integral equations with cosine kernel and a weight function. These equations are solved using Finite Hilbert transform techniques. Analytical expressions up to the order of δ −6 where δ denotes the thickness of the strip and is much greater than l are derived for the stress intensity factors, shape of the deformed crack, and the crack energy.