The spin-flip relaxation time for electrons in self-assembled coupled quantum dots (SACQDs) due to emission of acoustic phonons is presented. We focus on arbitrary shaped quantum dots made with InAs embedded in a wetting layer InAs and surrounded by GaAs. The electron states are calculated using the 8-band strain dependent theory. The deformation potential and the piezo- electric acoustic phonon modes are employed to estimate the electron-phonon coupling. Spin-flip time is calculated by Fermi's Golden Rule and its dependence on the shape of the QDs, the size and the lattice temperature is investigated.