The study of the associated production of vector bosons and jets constitutes an excellent testbench to check numerous QCD predictions. Measurements of the total and differential cross sections of vector bosons produced in association with jets have been performed at 13 TeV center-of-mass energies with the CMS experiment at the LHC. Differential distributions as function of a broad range of kinematical observables are measured and compared with theoretical predictions. Final states with a vector boson and jets can be also used to study electroweak initiated processes, such as the vector boson fusion production of a Z boson that is accompanied by a pair of energetic jets having large invariant mass.