CERN-LHC. The measurements of differential cross sections for the production of two Z bosons in association with jets in proton-proton collisions at 13 TeV an 8 TeV are reported. The analysis is based on data samples collected at the LHC with the CMS detector, corresponding to integrated luminosities of 19.7 and 35.9 fb-1 at 8 and 13 TeV, respectively. The measurements are performed in the leptonic decay modes $\textrm{p} \textrm{p} \to \textrm{ZZ}\to \ell\ell\ell^{\prime}\ell^{\prime}$, where where $\ell,\ell^{\prime} = e, \mu$. The differential cross sections as a function of the jet multiplicity, the transverse momentum $p_T$, and pseudorapidity of the $p_T$-leading and subleading jets are presented. In addition, the differential cross sections as a function of variables sensitive to the vector boson scattering, such as the invariant mass of the two $p_T$-leading jets and their pseudorapidity separation, are reported. The fiducial region for the 13 TeV analysis is defined as: leading lepton $p_T$ > 20 GeV, subleading lepton $p_T$ > 10 GeV, lepton $p_T$ > 5 GeV, psudorapidity of electrons and muons |eta| < 2.5, invariant mass of any opposite-sign same-flavor lepton pair $\textrm{m}_{\ell \ell} > 4$ GeV, invariant mass of the Z boson $60 < \textrm{m}_{\textrm{Z1}},\textrm{m}_{\textrm{Z2}} < 120$ GeV. The fiducial region for the 8 TeV analysis is defined as: leading lepton $p_T$ > 20 GeV, subleading lepton $p_T$ > 10 GeV, muon $p_T$ > 5 GeV, electron $p_T$ > 7 GeV, psudorapidity of electrons |eta| < 2.5, psudorapidity of muons |eta| < 2.4, invariant mass of any opposite-sign same-flavor lepton pair $\textrm{m}_{\ell \ell} > 4$ GeV, invariant mass of the Z boson $60 < \textrm{m}_{\textrm{Z1}},\textrm{m}_{\textrm{Z2}} < 120$ GeV. The generator-level lepton momenta are corrected by adding the momenta of generator-level photons within $\Delta \textrm{R} \left(\ell,\gamma\right) < 0.1$