Integrated fiducial cross sections for the production of four leptons via the H → 4ℓ decays (ℓ = e, μ) are measured in pp collisions at $$ \sqrt{s}=7 $$ and 8TeV. Measurements are performed with data corresponding to integrated luminosities of 5.1 fb−1 at 7TeV, and 19.7 fb−1 at 8 TeV, collected with the CMS experiment at the LHC. Differential cross sections are measured using the 8 TeV data, and are determined as functions of the transverse momentum and rapidity of the four-lepton system, accompanying jet multiplicity, transverse momentum of the leading jet, and difference in rapidity between the Higgs boson candidate and the leading jet. A measurement of the Z → 4ℓ cross section, and its ratio to the H → 4ℓ cross section is also performed. All cross sections are measured within a fiducial phase space defined by the requirements on lepton kinematics and event topology. The integrated H → 4ℓ fiducial cross section is measured to be 0. 56 − 0.44 + 0.67 (stat) − 0.06 + 0.21 (syst) fb at 7 TeV, and 1. 11 − 0.35 + 0.41 (stat) − 0.10 + 0.14 (syst) fb at 8 TeV. The measurements are found to be compatible with theoretical calculations based on the standard model.