The production of two prompt J/ Ï mesons, each with transverse momenta pT> 8.5 GeV and rapidity |y| < 2.1 , is studied using a sample of proton-proton collisions at s=8Â TeV, corresponding to an integrated luminosity of 11.4Â fb- 1 collected in 2012 with the ATLAS detector at the LHC. The differential cross-section, assuming unpolarised J/ Ï production, is measured as a function of the transverse momentum of the lower-pTJ/ Ï meson, di-J/ ÏpT and mass, the difference in rapidity between the two J/ Ï mesons, and the azimuthal angle between the two J/ Ï mesons. The fraction of prompt pair events due to double parton scattering is determined by studying kinematic correlations between the two J/ Ï mesons. The total and double parton scattering cross-sections are compared with predictions. The effective cross-section of double parton scattering is measured to be Ïeff= 6.3 Â± 1.6 (stat) Â± 1.0 (syst) mb.