A measurement of the exclusive two-photon production of muon pairs in proton-proton collisions at at a centre-of-mass energy 7 TeV with the final state pμ+μ−p, is reported using data corresponding to an integrated luminosity of 40 pb−1 collected in 2010. The measured cross section is obtained with a fit to the dimuon pT distribution for muon pairs with invariant mass greater than 11.5 GeV with each muon pT>4 GeV and |η|<2.1.