The production of a 푍 boson in association with a 퐽/휓 meson in proton–proton collisions probes the production mechanisms of quarkonium and heavy flavour in association with vector bosons, and allows studies of multiple parton scattering. Using 20.3fb−1 of data collected with the ATLAS experiment at the LHC in 푝푝 collisions at 푠√=8TeV , the first measurement of associated 푍+퐽/휓 production is presented for both prompt and non-prompt 퐽/휓 production, with both signatures having a significance in excess of 5휎 . The inclusive production cross-sections for 푍 boson production (analysed in 휇+휇− or 푒+푒− decay modes) in association with prompt and non-prompt 퐽/휓(→휇+휇−) are measured relative to the inclusive production rate of 푍 bosons in the same fiducial volume to be (36.8±6.7±2.5)×10−7 and (65.8±9.2±4.2)×10−7 respectively. Normalised differential production cross-section ratios are also determined as a function of the J\uppsi transverse momentum. The fraction of signal events arising from single and double parton scattering is estimated, and a lower limit of 5.3 (3.7)mb at 68 (95)% confidence level is placed on the effective cross-section regulating double parton interactions.