CERN-LHC. Measurement of the differential cross sections for inclusive production of di-muon and di-lepton pairs in proton proton collisions at a centre-of-mass energy of 7 TeV from a data sample of total integrated luminosity of 36 pb-1. The differential cross section which is normalized to the measured cross section in the Z0 region (60 to 120 GeV) covers the di-lepton invariant mass range from 15 to 600 GeV. Cross sections are given both for full phase space and within the detector acceptance.