A search for charged Higgs bosons produced in vector boson fusion processes and decaying into vector bosons, using proton–proton collisions at sqrt{s}=13,{text {TeV}} at the LHC, is reported. The data sample corresponds to an integrated luminosity of 137,{text {fb}}^{-1} collected with the CMS detector. Events are selected by requiring two or three electrons or muons, moderate missing transverse momentum, and two jets with a large rapidity separation and a large dijet mass. No excess of events with respect to the standard model background predictions is observed. Model independent upper limits at 95% confidence level are reported on the product of the cross section and branching fraction for vector boson fusion production of charged Higgs bosons as a function of mass, from 200 to 3000,{text {GeV}}. The results are interpreted in the context of the Georgi–Machacek model.